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Discrete models for chemically reacting systems
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Outgoing claims: the papers this work cites, builds on, or argues with.
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D. Avnir (Ed.): The Fractal Approach to Heterogeneous Chemistry, J. Wiley and Sons, Chichester, New York, Brisbane, Toronto, Singapore 1989. 441 Seiten, Preis: £ 75.—.
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A. T. Winfree, The Geometry of Biological Time (Biomathematics, Vol.8). 530 S., 290 Abb. Berlin‐Heidelberg‐New‐York 1980. Springer‐Verlag. DM 59,50
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Kinetics of the reversible reaction between arsenious acid and aqueous iodine
inferredcites →https://doi.org/10.1007/978-1-4612-1056-6openalex-snapshot
Asymptotic Methods for Relaxation Oscillations and Applications
inferredcites →https://doi.org/10.1007/978-1-4613-0195-0_20openalex-snapshot
Yeast Oscillations, Belousov-Zhabotinsky Waves, and the Non-retraction Theorem
inferredcites →https://doi.org/10.1007/978-1-4613-8542-4openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1007/978-1-4615-3778-6openalex-snapshot
Self-Organization, Emerging Properties, and Learning
inferredcites →https://doi.org/10.1007/978-1-4757-0623-9openalex-snapshot
Measures of Complexity and Chaos
inferredcites →https://doi.org/10.1007/978-1-4757-0623-9_54openalex-snapshot
Phase Dynamics, Phase Resetting, Correlation Functions and Coupled Map Lattices
inferredcites →https://doi.org/10.1007/978-1-4899-3683-7openalex-snapshot
Nonlinear Wave Processes in Excitable Media
inferredcites →https://doi.org/10.1007/978-1-4899-3683-7_32openalex-snapshot
Front Propagation Into Unstable Media: a Computational Tool
inferredcites →https://doi.org/10.1007/978-3-642-69689-3openalex-snapshot
Chemical Oscillations, Waves, and Turbulence
inferredcites →https://doi.org/10.1007/978-3-642-70196-2_12openalex-snapshot
Propagator-Controller Systems and Chemical Patterns
inferredcites →https://doi.org/10.1007/978-3-642-75259-9openalex-snapshot
Cellular Automata and Modeling of Complex Physical Systems
inferredcites →https://doi.org/10.1007/978-3-642-75259-9_23openalex-snapshot
Cellular Automata Approach to Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1007/978-3-642-81236-1_6openalex-snapshot
Phase Transitions and Critical Phenomena
inferredcites →https://doi.org/10.1007/978-3-642-84230-6_14openalex-snapshot
Isotropic Automata for Simulations of Excitable Media: Periodicity, Chaos and Reorganization
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00275200openalex-snapshot
Transient and steady state phase response curves of limit cycle oscillators
inferredcites →https://doi.org/10.1007/bf00326688openalex-snapshot
Computer simulation of reverberating spreading depression in a network of cell automata
inferredcites →https://doi.org/10.1007/bf00361045openalex-snapshot
Biological oscillators can be stopped?Topological study of a phase response curve
inferredcites →https://doi.org/10.1007/bf01019690openalex-snapshot
A cell dynamical system model of chemical turbulence
inferredcites →https://doi.org/10.1007/bf01021083openalex-snapshot
Cellular automaton fluids 1: Basic theory
inferredcites →https://doi.org/10.1007/bf01362462openalex-snapshot
Melting of 2D nonequilibrium structures at low and high constraints
inferredcites →https://doi.org/10.1007/bf01379769openalex-snapshot
Chemical reaction models for non-equilibrium phase transitions
inferredcites →https://doi.org/10.1007/bf02154750openalex-snapshot
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
inferredcites →https://doi.org/10.1007/bf03024168openalex-snapshot
Yeast oscillations, belousov-zhabotinsky waves, and the non-retraction theorem
inferredcites →https://doi.org/10.1016/0001-6160(79)90196-2openalex-snapshot
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
inferredcites →https://doi.org/10.1016/0002-8703(59)90274-1openalex-snapshot
Atrial fibrillation as a self-sustaining arrhythmia independent of focal discharge
inferredcites →https://doi.org/10.1016/0002-8703(64)90371-0openalex-snapshot
A computer model of atrial fibrillation
inferredcites →https://doi.org/10.1016/0021-9797(90)90406-eopenalex-snapshot
The fractal approach to heterogeneous chemistry
inferredcites →https://doi.org/10.1016/0025-5564(88)90056-9openalex-snapshot
Nonlinear dynamics in cardiac conduction
inferredcites →https://doi.org/10.1016/0094-5765(77)90096-0openalex-snapshot
Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
inferredcites →https://doi.org/10.1016/0160-9327(86)90067-0openalex-snapshot
Oscillations and traveling waves in chemical systems
inferredcites →https://doi.org/10.1016/0167-2789(83)90309-3openalex-snapshot
Singular filaments organize chemical waves in three dimensions
inferredcites →https://doi.org/10.1016/0167-2789(84)90256-2openalex-snapshot
Self-reproduction in cellular automata
inferredcites →https://doi.org/10.1016/0167-2789(85)90138-1openalex-snapshot
Organizing centers in a cellular excitable medium
inferredcites →https://doi.org/10.1016/0167-2789(85)90215-5openalex-snapshot
Dynamical simulations of twisted scroll rings in three-dimensional excitable media
inferredcites →https://doi.org/10.1016/0167-2789(86)90007-2openalex-snapshot
Spiral waves in the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1016/0167-2789(86)90148-xopenalex-snapshot
Robust space-time intermittency and noise
inferredcites →https://doi.org/10.1016/0167-2789(86)90151-xopenalex-snapshot
Competition between stable states in spatially-distributed systems
inferredcites →https://doi.org/10.1016/0167-2789(87)90047-9openalex-snapshot
A computational study of twisted linked scroll waves in excitable media
inferredcites →https://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferredcites →https://doi.org/10.1016/0167-2789(88)90067-xopenalex-snapshot
A model of wave propagation in an inhomogeneous excitable meduim
inferredcites →https://doi.org/10.1016/0167-2789(88)90080-2openalex-snapshot
The dynamics of three-dimensional scroll waves in excitable media
inferredcites →https://doi.org/10.1016/0167-2789(89)90081-xopenalex-snapshot
A cellular automaton describing the formation of spatially ordered structures in chemical systems
inferredcites →https://doi.org/10.1016/0167-2789(89)90227-3openalex-snapshot
Pattern dynamics in spatiotemporal chaos
inferredcites →https://doi.org/10.1016/0167-2789(90)90111-2openalex-snapshot
Bifurcation to spatially induced chaos in a reaction-diffusion system
inferredcites →https://doi.org/10.1016/0167-2789(91)90176-aopenalex-snapshot
Coupled map model with a conserved order parameter
inferredcites →https://doi.org/10.1016/0167-2789(91)90203-lopenalex-snapshot
Instabilities of front patterns in reaction-diffusion systems
inferredcites →https://doi.org/10.1016/0301-0104(84)85114-9openalex-snapshot
The structure of liquid water at room temperature
inferredcites →https://doi.org/10.1016/0370-1573(79)90060-7openalex-snapshot
Scaling theory of percolation clusters
inferredcites →https://doi.org/10.1016/0375-9601(84)90823-5openalex-snapshot
One-dimensional strings, random fluctuations, and complex chaotic structures
inferredcites →https://doi.org/10.1016/0375-9601(89)90413-1openalex-snapshot
Simulation of diffusion controlled reaction kinetics using cellular automata
inferredcites →https://doi.org/10.1016/0375-9601(89)90637-3openalex-snapshot
Sustained reaction-diffusion structures in an open reactor
inferredcites →https://doi.org/10.1016/0375-9601(90)90792-mopenalex-snapshot
Spatiotemporal patterns and diffusion-induced chaos in a chemical system with equal diffusion coefficients
inferredcites →https://doi.org/10.1016/0920-5632(88)90048-5openalex-snapshot
Creation-annihilation kinetics in a one-dimensional cellular automaton
inferredcites →https://doi.org/10.1016/s0006-3495(79)85204-2openalex-snapshot
Null space in the Hodgkin-Huxley Equations. A critical test
inferredcites →https://doi.org/10.1017/s0022112088000795openalex-snapshot
Simulation of free boundaries in flow systems by lattice-gas models
inferredcites →https://doi.org/10.1021/j100339a047openalex-snapshot
Chemical vortex dynamics in the Belousov-Zhabotinskii reaction and in the two-variable oregonator model
inferredcites →https://doi.org/10.1021/j100344a016openalex-snapshot
Regular and irregular spatial patterns in an immobilized-catalyst Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1021/j100344a025openalex-snapshot
Three-dimensional scroll ring dynamics in the Belousov-Zhabotinskii reagent and in the two-variable Oregonator model
inferredcites →https://doi.org/10.1021/j150042a001openalex-snapshot
The Rate of the Reaction between Arsenious Acid and Iodine in Acid Solutions; the Rate of the Reverse Reaction; and the Equilibrium between Them
inferredcites →https://doi.org/10.1021/j150646a007openalex-snapshot
Complex dynamical behavior in "simple" chemical systems
inferredcites →https://doi.org/10.1021/ja00346a080openalex-snapshot
Systematic design of chemical oscillators. 17. Birhythmicity and compound oscillation in coupled chemical oscillators: chlorite-bromate-iodide system
inferredcites →https://doi.org/10.1021/ja00378a011openalex-snapshot
Detailed studies of propagating fronts in the iodate oxidation of arsenous acid
inferredcites →https://doi.org/10.1038/347056a0openalex-snapshot
Isotropic cellular automaton for modelling excitable media
inferredcites →https://doi.org/10.1038/scientificamerican0674-82openalex-snapshot
Rotating Chemical Reactions
inferredcites →https://doi.org/10.1051/jphys:01981004206076100openalex-snapshot
Splitting of commensurate-incommensurate phase transition
inferredcites →https://doi.org/10.1051/jphys:019890050090108300openalex-snapshot
Lattice gas experiments on a non-exothermic diffusion flame in a vortex field
inferredcites →https://doi.org/10.1063/1.1668896openalex-snapshot
Symmetry Breaking Instabilities in Dissipative Systems. II
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On a variety of wave phenomena in chemical reactions
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Kinetics of Phase Change. I General Theory
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When Time Breaks Down: The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias
inferredcites →https://doi.org/10.1063/1.440418openalex-snapshot
Target patterns in a realistic model of the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1063/1.445266openalex-snapshot
Chemical waves in a two-dimensional oscillating system
inferredcites →https://doi.org/10.1063/1.447091openalex-snapshot
Generation of multiple attractors and nonequilibrium phase transitions
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Ring dynamics and percolation in an excitable medium
inferredcites →https://doi.org/10.1063/1.451676openalex-snapshot
Kinetic oscillations in the catalytic CO oxidation on Pt(100): Computer simulations
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Comment on ‘‘Ring dynamics and percolation in an excitable medium’’
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Kinetic oscillations in the catalytic CO oxidation on Pt(100): Periodic perturbations
inferredcites →https://doi.org/10.1063/1.453935openalex-snapshot
Sustained spiral waves in a continuously fed unstirred chemical reactor
inferredcites →https://doi.org/10.1063/1.457330openalex-snapshot
Phase transformation kinetics in finite inhomogeneously nucleated systems
inferredcites →https://doi.org/10.1063/1.458215openalex-snapshot
Inhomogeneous perturbations and phase resetting in an oscillatory reaction–diffusion system
inferredcites →https://doi.org/10.1063/1.458216openalex-snapshot
Phase resetting dynamics for a discrete reaction–diffusion model
inferredcites →https://doi.org/10.1073/pnas.81.1.233openalex-snapshot
Simple finite-element model accounts for wide range of cardiac dysrhythmias.
inferredcites →https://doi.org/10.1080/00986448508911657openalex-snapshot
EXPERIMENTAL EVIDENCE OF MULTIPLE OSCILLATORY STATES IN A CONTINUOUS REACTOR
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Time evolution of disk galaxies undergoing stochastic self-propagating star formation
inferredcites →https://doi.org/10.1088/0031-9112/34/10/030openalex-snapshot
Molecular Theory of Capillarity
inferredcites →https://doi.org/10.1088/0305-4470/15/11/013openalex-snapshot
Soliton structures in a discrete chain
inferredcites →https://doi.org/10.1088/0305-4470/15/2/031openalex-snapshot
Inverse diffraction, duality and optimal control
inferredcites →https://doi.org/10.1088/0305-4470/21/1/025openalex-snapshot
Cellular automata approach to non-equilibrium phase transitions in a surface reaction model: static and dynamic properties
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14560-1openalex-snapshot
Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
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Cardiovascular Physiology II
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The chemical basis of morphogenesis
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A model of cardiac electrical activity incorporating ionic pumps and concentration changes
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Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions
inferredcites →https://doi.org/10.1103/physreva.27.2698openalex-snapshot
Fluctuations in the interface between two phases
inferredcites →https://doi.org/10.1103/physreva.29.1348openalex-snapshot
Global bifurcations of a periodically forced biological oscillator
inferredcites →https://doi.org/10.1103/physreva.30.2047openalex-snapshot
Spatial and temporal structure in systems of coupled nonlinear oscillators
inferredcites →https://doi.org/10.1103/physreva.31.3868openalex-snapshot
Pattern formation in two-dimensional arrays of coupled, discrete-time oscillators
inferredcites →https://doi.org/10.1103/physreva.36.5820openalex-snapshot
Domain growth and nucleation in a discrete bistable system
inferredcites →https://doi.org/10.1103/physreva.38.1542openalex-snapshot
Study of phase-separation dynamics by use of cell dynamical systems. II. Two-dimensional demonstrations
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Interparticle distribution functions and rate equations for diffusion-limited reactions
inferredcites →https://doi.org/10.1103/physreva.41.1932openalex-snapshot
Stability of temporally periodic states of classical many-body systems
inferredcites →https://doi.org/10.1103/physreva.42.2489openalex-snapshot
Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation
inferredcites →https://doi.org/10.1103/physrevb.37.9638openalex-snapshot
Numerical study of the late stages of spinodal decomposition
inferredcites →https://doi.org/10.1103/physrevb.38.4725openalex-snapshot
Early stages of spinodal decomposition for the Cahn-Hilliard-Cook model of phase separation
inferredcites →https://doi.org/10.1103/physrevlett.32.626openalex-snapshot
Can the Charge Symmetry of Nuclear Forces be Confirmed by Nucleon-Nucleon Scattering Experiments?
inferredcites →https://doi.org/10.1103/physrevlett.47.958openalex-snapshot
Theory of Metal-Insulator Transition in Peierls Systems with Nearly Half-Filled Bands
inferredcites →https://doi.org/10.1103/physrevlett.55.2927openalex-snapshot
Discrete model of chemical turbulence
inferredcites →https://doi.org/10.1103/physrevlett.56.1505openalex-snapshot
Lattice-Gas Automata for the Navier-Stokes Equation
inferredcites →https://doi.org/10.1103/physrevlett.56.2553openalex-snapshot
Kinetic Phase Transitions in an Irreversible Surface-Reaction Model
inferredcites →https://doi.org/10.1103/physrevlett.58.836openalex-snapshot
Computationally efficient modeling of ordering of quenched phases
inferredcites →https://doi.org/10.1103/physrevlett.60.1880openalex-snapshot
Model for spiral wave formation in excitable media
inferredcites →https://doi.org/10.1103/physrevlett.61.2163openalex-snapshot
Regular and Chaotic Chemical Spatiotemporal Patterns
inferredcites →https://doi.org/10.1103/physrevlett.64.2462openalex-snapshot
Cellular-automaton model for reactive systems
inferredcites →https://doi.org/10.1103/physrevlett.64.2953openalex-snapshot
Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
inferredcites →https://doi.org/10.1103/physrevlett.64.878openalex-snapshot
Interaction of defects in two-dimensional systems
inferredcites →https://doi.org/10.1103/revmodphys.49.435openalex-snapshot
Theory of dynamic critical phenomena
inferredcites →https://doi.org/10.1103/revmodphys.55.601openalex-snapshot
Statistical mechanics of cellular automata
inferredcites →https://doi.org/10.1113/jphysiol.1952.sp004764openalex-snapshot
A quantitative description of membrane current and its application to conduction and excitation in nerve
inferredcites →https://doi.org/10.1119/1.13729openalex-snapshot
Bifurcations, propagating solutions, and phase transitions in a nonlinear chemical reaction with diffusion
inferredcites →https://doi.org/10.1126/science.175.4022.634openalex-snapshot
Spiral Waves of Chemical Activity
inferredcites →https://doi.org/10.1126/science.222.4624.615openalex-snapshot
Computer Simulations of the Belousov-Zhabotinsky Reaction
inferredcites →https://doi.org/10.1126/science.230.4726.661openalex-snapshot
The Structure of the Core of the Spiral Wave in the Belousov-Zhabotinskii Reaction
inferredcites →https://doi.org/10.1126/science.2321017openalex-snapshot
A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion
inferredcites →https://doi.org/10.1126/science.233.4762.425openalex-snapshot
Percolation and Galaxies
inferredcites →https://doi.org/10.1126/science.241.4866.685openalex-snapshot
Curvature and Propagation Velocity of Chemical Waves
inferredcites →https://doi.org/10.1126/science.241.4873.1620openalex-snapshot
Fractal Reaction Kinetics
inferredcites →https://doi.org/10.1137/0134040openalex-snapshot
Spatial Patterns for Discrete Models of Diffusion in Excitable Media
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1137/1032001openalex-snapshot
Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
inferredcites →https://doi.org/10.1143/ptp.72.480openalex-snapshot
Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos"
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Cardiovascular Physiology
inferredcites →https://doi.org/10.1201/9780429032738openalex-snapshot
Lattice Gas Methods For Partial Differential Equations
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Interacting Particle Systems
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γ-Bestrahlte Ribosomen von Micrococcus radiodurans in einem System der zellfreien Proteinsynthese / γ-Irradiated Ribosomes from Micrococcus radiodurans in a Cell-Free Protein Synthesizing System
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(Discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics)
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Planigon tessellation cellular automata
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Cellular Automata and Mesoscale Simulations
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Lyapunov Exponents and Synchronization of Cellular Automata
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Threshold-range scaling of excitable cellular automata
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Scaling, propagation, and kinetic roughening of flame fronts in random media
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Renormalized equilibria of a Schlögl model lattice gas
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Lattice dynamical models of adaptive spatio-temporal phenomena
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Long transients dynamics in biochemical networks
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Exponential mixing and limiting behaviors of invariant measures of stochastic delay lattice systems with small noise
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Invariant Sample Measures for Non-autonomous Stochastic Non-local Discrete p-Laplacian Equations with Time Varying Delay and Multiplicative Noises
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Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model
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Attractor for lattice system of dissipative Zakharov equation
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Upper Semicontinuity and Kolmogorov ε-Entropy of Global Attractor for k-Dimensional Lattice Dynamical System Corresponding to Klein-Gordon-Schrödinger Equation
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Long-Time Behavior for Second Order Lattice Dynamical Systems
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Discretisation of Global Attractors for Lattice Dynamical Systems
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Stochastic phase-space description for reactions that change particle numbers
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Energy bands for finite two-dimensional systems in a quantised magnetic field: the symmetry of the model
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Turing pattern formation in anisotropic medium
inferred← citeshttps://doi.org/10.1007/s10910-018-0931-4openalex-snapshot
A novel chaos control strategy for discrete-time Brusselator models
inferred← citeshttps://doi.org/10.1007/s11464-008-0028-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11721-010-0038-4openalex-snapshot
Solving the decentralised gathering problem with a reaction–diffusion–chemotaxis scheme
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Random Attractor, Invariant Measures, and Ergodicity of Lattice p-Laplacian Equations Driven by Superlinear Noise
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Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part
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Random Uniform Attractors for First Order Stochastic Non-Autonomous Lattice Systems
inferred← citeshttps://doi.org/10.1007/s12346-023-00903-yopenalex-snapshot
Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay
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Wave Propagation for a Discrete Diffusive Mosquito-Borne Epidemic Model
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Codimension-one and codimension-two bifurcations of a modified Brusselator model
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Finite Dimensionality and Upper Semicontinuity of Kernel Sections for the Discrete Zakharov Equations
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Invariant Measures of Stochastic Lattice Plate Equations: Stability, Ergodicity and Mixing
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Finite-Dimensional Approximation of Pullback Measures Attractors for Nonlinearly Stochastic Sine-Gordon Equations on Infinite Lattice
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Mean random attractors of stochastic lattice fractional delay Gray–Scott equations in higher moment product sequence spaces
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Molecular dynamics simulations of a chemical wave front
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Pattern formation in chemical systems
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Pattern formation in excitable media
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Noise, chaos, and (ε, τ)-entropy per unit time
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Lattice gas automata for reactive systems
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Adaptive dynamics on circle maps
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Catalytic CO oxidation on Pt surfaces: a lattice-gas cellular automaton model
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Surface structure and catalytic CO oxidation oscillations
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Chaotic meander of spiral waves in the FitzHugh-Nagumo system
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Dynamics of the discrete coupled nonlinear Schrödinger–Boussinesq equations
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Invariant Borel probability measures for discrete long-wave-short-wave resonance equations
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Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations
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On discrete stochastic p-Laplacian complex-valued Ginzburg-Landau equations driven by superlinear Lévy noise
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Measure attractors of stochastic Schrödinger lattice systems driven by nonlinear noise
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Attractors for one kind of lattice dynamical system
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Dynamical behavior for stochastic lattice systems
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Traveling waves of a discrete diffusive waterborne pathogen model with general incidence
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Wong–Zakai approximations and limiting dynamics of stochastic discrete p-Laplacian complex Ginzburg–Landau equations with delays
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Long-time dynamics and finite-dimensional approximation of McKean-Vlasov stochastic neural field lattice models
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Microstructure evolution influenced by dislocation density gradients modeled in a reaction–diffusion system
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Attractors and approximations for lattice dynamical systems
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Dynamics of systems on infinite lattices
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Uniform exponential attractors for first order non-autonomous lattice dynamical systems
inferred← citeshttps://doi.org/10.1016/j.jde.2012.03.020openalex-snapshot
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
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Non-autonomous lattice systems with switching effects and delayed recovery
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Asymptotic synchronization in n-dimensional second order dissipative lattices of coupled oscillators
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Compact kernel sections for nonautonomous Klein–Gordon–Schrödinger equations on infinite lattices
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Exponential attractors for first-order lattice dynamical systems
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Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
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Dynamics of stochastic reaction–diffusion lattice systems driven by nonlinear noise
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Pullback attractor for a class of non-autonomous lattice differential equations with delays
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Compact kernel sections of long-wave–short-wave resonance equations on infinite lattices
inferred← citeshttps://doi.org/10.1016/j.na.2015.09.025openalex-snapshot
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
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Long time behavior for the stochastic parabolic-wave systems with delay on infinite lattice
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Attractors for lattice FitzHugh–Nagumo systems
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Symbolic dynamics of two coupled Lorenz maps: From uncoupled regime to synchronisation
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Attractors of non-autonomous stochastic lattice systems in weighted spaces
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Stable stationary solutions for a reaction–diffusion equation with a multi-stable nonlinearity
inferred← citeshttps://doi.org/10.1016/j.physleta.2006.12.045openalex-snapshot
Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping
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Random attractors for stochastic discrete Klein–Gordon–Schrödinger equations
inferred← citeshttps://doi.org/10.1016/s0167-2789(02)00807-2openalex-snapshot
Attractors for first order dissipative lattice dynamical systems
inferred← citeshttps://doi.org/10.1016/s0167-2789(97)00043-2openalex-snapshot
Dynamical stability and finite amplitude perturbations in coupled genetic networks
inferred← citeshttps://doi.org/10.1016/s0304-3975(98)00155-8openalex-snapshot
Coupled map lattices dynamics on a variable space for the study of development: A general discussion on Caenorhabditis elegans
inferred← citeshttps://doi.org/10.1016/s1381-1169(00)00468-4openalex-snapshot
Monte Carlo model of oscillatory CO oxidation having regard to the change of catalytic properties due to the adsorbate-induced Pt(1 0 0) structural transformation
inferred← citeshttps://doi.org/10.1021/jp9813746openalex-snapshot
Master Equation and Molecular Dynamics Simulations of Spatiotemporal Effects in a Bistable Chemical System
inferred← citeshttps://doi.org/10.1063/1.165844openalex-snapshot
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
inferred← citeshttps://doi.org/10.1063/1.165875openalex-snapshot
Coupled maps and pattern formation on the Sierpinski gasket
inferred← citeshttps://doi.org/10.1063/1.165876openalex-snapshot
Coupled map lattice techniques for simulating interfacial phenomena in reaction-diffusion systems
inferred← citeshttps://doi.org/10.1063/1.3319566openalex-snapshot
Random attractors for first order stochastic retarded lattice dynamical systems
inferred← citeshttps://doi.org/10.1063/1.462025openalex-snapshot
Reactive dynamics in a multispecies lattice-gas automaton
inferred← citeshttps://doi.org/10.1063/5.0016914openalex-snapshot
Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
inferred← citeshttps://doi.org/10.1063/5.0037929openalex-snapshot
Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise
inferred← citeshttps://doi.org/10.1063/5.0125383openalex-snapshot
Dynamical stability of random delayed FitzHugh–Nagumo lattice systems driven by nonlinear Wong–Zakai noise
inferred← citeshttps://doi.org/10.1063/5.0206015openalex-snapshot
Invariant measures of stochastic Klein–Gordon–Schrödinger equations on infinite lattices
inferred← citeshttps://doi.org/10.1063/5.0241178openalex-snapshot
Random uniform attractors for non-autonomous stochastic lattice dynamical systems in weighted spaces
inferred← citeshttps://doi.org/10.1063/5.0299167openalex-snapshot
Uniformly valid estimate and central limit theorem for stochastic reaction-diffusion lattice systems
inferred← citeshttps://doi.org/10.1080/07362994.2019.1679646openalex-snapshot
Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise
inferred← citeshttps://doi.org/10.1080/07362994.2021.1970582openalex-snapshot
Periodic measures of impulsive stochastic Hopfield-type lattice systems
inferred← citeshttps://doi.org/10.1080/10236190701859542openalex-snapshot
Random attractors for partly dissipative stochastic lattice dynamical systems1
inferred← citeshttps://doi.org/10.1080/10236198.2018.1437913openalex-snapshot
Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay
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Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations
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Asymptotic behaviour of non-autonomous discrete complex Ginzburg–Landau equations driven by nonlinear noise
inferred← citeshttps://doi.org/10.1080/10236198.2024.2427631openalex-snapshot
Mean random dynamical systems and random attractors of stochastic Hopfield neural models with locally Lipschitz noise and time delay
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Asymptotic Behavior of Excitable Cellular Automata
inferred← citeshttps://doi.org/10.1080/14689360802508777openalex-snapshot
Pullback and forward attractors for dissipative lattice dynamical systems with additive noises
inferred← citeshttps://doi.org/10.1080/17442508.2024.2347849openalex-snapshot
Invariant measures of stochastic delay complex Ginzburg-Landau equations
inferred← citeshttps://doi.org/10.1088/0951-7715/15/4/307openalex-snapshot
Attractors for lattice systems corresponding to evolution equations
inferred← citeshttps://doi.org/10.1088/0951-7715/20/8/010openalex-snapshot
Attractors of retarded first order lattice systems
inferred← citeshttps://doi.org/10.1090/s0002-9939-10-10440-7openalex-snapshot
Uniform global attractors for first order non-autonomous lattice dynamical systems
inferred← citeshttps://doi.org/10.1103/physrevb.53.6263openalex-snapshot
Phase-field model for activated reaction fronts
inferred← citeshttps://doi.org/10.1103/physreve.49.1749openalex-snapshot
Class of cellular automata for reaction-diffusion systems
inferred← citeshttps://doi.org/10.1103/physreve.49.4832openalex-snapshot
Unidirectional adaptive dynamics
inferred← citeshttps://doi.org/10.1103/physreve.52.5800openalex-snapshot
Smoluchowski approach for three-body reactions in one dimension
inferred← citeshttps://doi.org/10.1103/physreve.55.3215openalex-snapshot
Correspondence between discrete and continuous models of excitable media:mTrigger waves
inferred← citeshttps://doi.org/10.1103/physrevlett.71.2010openalex-snapshot
Adaptive dynamics on a chaotic lattice
inferred← citeshttps://doi.org/10.1103/physrevlett.86.926openalex-snapshot
Front Propagation into an Unstable State of Reaction-Transport Systems
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Pullback and forward attractors for dissipative cellular neural networks with additive noises
inferred← citeshttps://doi.org/10.1137/16m1085504openalex-snapshot
Stochastic Lattice Dynamical Systems with Fractional Noise
inferred← citeshttps://doi.org/10.1137/s0036139997323942openalex-snapshot
A Lattice Cellular Automata Model for Ion Diffusion in the Brain-Cell Microenvironment and Determination of Tortuosity and Volume Fraction
inferred← citeshttps://doi.org/10.1142/s0218127401002031openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218127409023196openalex-snapshot
PEANO'S THEOREM AND ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127426501038openalex-snapshot
Dynamics Analysis of a Discrete Mussel–Algae System with Diffusion and Advection Considering the Half-Saturation Constant
inferred← citeshttps://doi.org/10.1142/s0219493706001621openalex-snapshot
ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
inferred← citeshttps://doi.org/10.1142/s021949372140013xopenalex-snapshot
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms
inferred← citeshttps://doi.org/10.1142/s1793524522500796openalex-snapshot
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers
inferred← citeshttps://doi.org/10.1145/3577148.3577158openalex-snapshot
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Nonlinear Kinetics and New Approaches to Complex Reaction Mechanisms
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Random Attractors for Stochastic Three‐Component Reversible Gray‐Scott System on Infinite Lattices
inferred← citeshttps://doi.org/10.1155/2012/409282openalex-snapshot
Random Attractors for Stochastic Retarded Lattice Dynamical Systems
inferred← citeshttps://doi.org/10.1155/2013/809476openalex-snapshot
Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices
inferred← citeshttps://doi.org/10.1155/2015/217608openalex-snapshot
The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation
inferred← citeshttps://doi.org/10.1155/2020/5405947openalex-snapshot
Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space
inferred← citeshttps://doi.org/10.1155/s1026022600000157openalex-snapshot
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inferred← citeshttps://doi.org/10.11650/twjm/1500406680openalex-snapshot
STOCHASTIC FITZHUGH-NAGUMO SYSTEMS WITH DELAY
inferred← citeshttps://doi.org/10.1186/1687-1847-2014-300openalex-snapshot
Upper semicontinuity of attractors for small perturbations of Klein-Gordon-Schrödinger lattice system
inferred← citeshttps://doi.org/10.1186/s13661-021-01489-7openalex-snapshot
Random attractor for second-order stochastic delay lattice sine-Gordon equation
inferred← citeshttps://doi.org/10.1186/s13662-020-02760-4openalex-snapshot
Pullback attractors of nonautonomous discrete p-Laplacian complex Ginzburg–Landau equations with fast-varying delays
inferred← citeshttps://doi.org/10.11948/20190091openalex-snapshot
PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS
inferred← citeshttps://doi.org/10.11948/20220343openalex-snapshot
ATTRACTORS FOR RANDOM LATTICE DYNAMICAL SYSTEMS WITH INFINITE MULTIPLICATIVE COLORED NOISE
inferred← citeshttps://doi.org/10.1214/ejp.v1-12openalex-snapshot
Percolation Times in Two-Dimensional Models For Excitable Media
inferred← citeshttps://doi.org/10.18926/mjou/57815openalex-snapshot
Existence and stability of stationary solutions to the Allen-Cahn equation discretized in space and time
inferred← citeshttps://doi.org/10.3329/jnujsci.v10i1.71163openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/cpaa.2007.6.1087openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/cpaa.2009.8.803openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcds.2014.34.229openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcds.2014.34.4019openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcds.2014.34.51openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2015.20.2715openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2017077openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2018122openalex-snapshot
Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations
inferred← citeshttps://doi.org/10.3934/dcdsb.2019218openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2019268openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2020159openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2020172openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2020226openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2022006openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2022123openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2023135openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2024039openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2024075openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2024083openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2024123openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdss.2026035openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/era.2022002openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/math.2022425openalex-snapshot
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inferred← citeshttps://doi.org/10.46793/match.87-2.441dopenalex-snapshot
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inferred← citeshttps://doi.org/10.5206/mase/15355openalex-snapshot
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