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Diffusive Effects on Dispersion in Excitable Media
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/sapm19785911openalex-snapshot
Activators and Inhibitors in Pattern Formation
inferredcites →https://doi.org/10.1007/3-540-07171-7_13openalex-snapshot
On traveling wave solutions of nonlinear diffusion equations
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Propagator-Controller Systems and Chemical Patterns
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The Speed of Propagation of Oxidizing and Reducing Wave Fronts in the Belousov-Zhabotinskii Reaction
inferredcites →https://doi.org/10.1007/978-3-642-70196-2_17openalex-snapshot
Kinematic Analysis of Wave Pattern Formation in Excitable Media
inferredcites →https://doi.org/10.1007/978-3-642-93046-1openalex-snapshot
The Belousov-Zhabotinskii Reaction
inferredcites →https://doi.org/10.1007/978-3-642-93111-6openalex-snapshot
Mathematical Aspects of Reacting and Diffusing Systems
inferredcites →https://doi.org/10.1007/978-3-642-93318-9_7openalex-snapshot
Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1007/bfb0070595openalex-snapshot
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
inferredcites →https://doi.org/10.1016/0022-0396(80)90104-7openalex-snapshot
An example of bifurcation to homoclinic orbits
inferredcites →https://doi.org/10.1016/0022-0396(81)90077-2openalex-snapshot
Global bifurcation of steady-state solutions
inferredcites →https://doi.org/10.1016/0022-0396(83)90031-1openalex-snapshot
The existence of periodic travelling waves for singularly perturbed predator-prey equations via the Conley Index
inferredcites →https://doi.org/10.1016/0022-247x(76)90218-3openalex-snapshot
Boundary and interior transition layer phenomena for pairs of second-order differential equations
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(88)90105-4openalex-snapshot
Dispersion of traveling waves in the belousov-zhabotinskii reaction
inferredcites →https://doi.org/10.1016/0362-546x(89)90061-8openalex-snapshot
Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
inferredcites →https://doi.org/10.1016/b978-0-08-011857-4.50011-2openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1016/s0006-3495(61)86902-6openalex-snapshot
Impulses and Physiological States in Theoretical Models of Nerve Membrane
inferredcites →https://doi.org/10.1016/s0006-3495(73)86065-5openalex-snapshot
Traveling Wave Solutions of a Nerve Conduction Equation
inferredcites →https://doi.org/10.1016/s0006-3495(81)84847-3openalex-snapshot
The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model
inferredcites →https://doi.org/10.1063/1.440418openalex-snapshot
Target patterns in a realistic model of the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1090/memo/0047openalex-snapshot
Periodic solutions of perturbed second-order autonomous equations
inferredcites →https://doi.org/10.1090/qam/445095openalex-snapshot
Perturbation analysis of an approximation to the Hodgkin-Huxley theory
inferredcites →https://doi.org/10.1093/qmath/27.1.123openalex-snapshot
ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
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/10.1137/0144008openalex-snapshot
Stationary Wave Solutions of a System of Reaction-Diffusion Equations Derived from the FitzHugh–Nagumo Equations
inferredcites →https://doi.org/10.1137/0144081openalex-snapshot
Large Amplitude Stationary Waves in an Excitable Lateral-Inhibitory Medium
inferredcites →https://doi.org/10.1137/0145044openalex-snapshot
Geometrical Characteristics Associated with Stability and Bifurcations of Periodic Travelling Waves in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1137/0146062openalex-snapshot
A Geometrical Theory for Spiral Waves in Excitable Media
inferredcites →https://doi.org/10.1137/0149029openalex-snapshot
Layer Oscillations in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1137/0511057openalex-snapshot
Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
inferredcites →https://doi.org/10.1137/0513037openalex-snapshot
Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1143/ptp.63.106openalex-snapshot
Localized Patterns in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1216/rmj-1986-16-1-119openalex-snapshot
Stationary spatial patterns for a reaction-diffusion system with an excitable steady state
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_2openalex-snapshot
Traveling Waves in One-Dimensional Excitable Media
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_3openalex-snapshot
Wave Propagation Along Spiny Dendrites
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_5openalex-snapshot
Waves in Synaptically Coupled Spiking Networks
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_6openalex-snapshot
Population Models and Neural Fields
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_7openalex-snapshot
Waves in Excitable Neural Fields
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_8openalex-snapshot
Neural Field Model of Binocular Rivalry Waves
inferred← citeshttps://doi.org/10.1007/978-1-4614-8866-8_9openalex-snapshot
Waves in the Developing and the Diseased Brain
inferred← citeshttps://doi.org/10.1007/978-3-031-83217-8_6openalex-snapshot
Wave Propagation in Excitable Systems
inferred← citeshttps://doi.org/10.1007/978-94-011-1156-0_10openalex-snapshot
Turing Bifurcations and Pattern Selection
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Calcium wave propagation by calcium-induced calcium release: An unusual excitable system
inferred← citeshttps://doi.org/10.1007/bf03167401openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00422-018-0771-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11538-010-9523-6openalex-snapshot
Asymptotics of Conduction Velocity Restitution in Models of Electrical Excitation in the Heart
inferred← citeshttps://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90234-0openalex-snapshot
Spiral waves of cyclic amp in a model of slime mold aggregation
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90168-9openalex-snapshot
Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90056-6openalex-snapshot
Symmetric spirals in media with relaxation kinetics and two diffusing species
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00296-0openalex-snapshot
Criteria of spontaneous interconversions of traveling and static arbitrary dimensional dissipative structures
inferred← citeshttps://doi.org/10.1016/0370-1573(92)90098-kopenalex-snapshot
Pattern formation in excitable media
inferred← citeshttps://doi.org/10.1016/0378-4371(94)90313-1openalex-snapshot
Evolution of reaction-diffusion patterns in infinite and bounded domains
inferred← citeshttps://doi.org/10.1016/j.bulm.2004.05.004openalex-snapshot
Stability of cardiac waves
inferred← citeshttps://doi.org/10.1016/j.cam.2007.08.011openalex-snapshot
Mathematical modeling of time fractional reaction–diffusion systems
inferred← citeshttps://doi.org/10.1016/j.chemphys.2010.04.004openalex-snapshot
Inducing and modulating spiral waves by delayed feedback in a uniform oscillatory reaction–diffusion system
inferred← citeshttps://doi.org/10.1016/j.cnsns.2022.106529openalex-snapshot
Traveling curved fronts in the buffered bistable systems in R2
inferred← citeshttps://doi.org/10.1016/j.physleta.2007.07.071openalex-snapshot
Inhomogeneous oscillatory structures in fractional reaction–diffusion systems
inferred← citeshttps://doi.org/10.1016/s0022-5193(05)80138-9openalex-snapshot
Impulse patterning and relaxation propagation in excitable media
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00259-7openalex-snapshot
Traveling spike autosolitons in the Gray–Scott model
inferred← citeshttps://doi.org/10.1021/jp010270jopenalex-snapshot
Anomalous Dispersion and Attractive Pulse Interaction in the 1,4-Cyclohexanedione Belousov−Zhabotinsky Reaction
inferred← citeshttps://doi.org/10.1038/s41598-026-39044-yopenalex-snapshot
Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems
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/10.1063/1.2821964openalex-snapshot
Delay-induced inward and outward spiral waves in oscillatory medium
inferred← citeshttps://doi.org/10.1063/1.460833openalex-snapshot
Planar traveling waves in the oscillatory oxidation of CO over polycrystalline catalysts
inferred← citeshttps://doi.org/10.1063/1.474449openalex-snapshot
Study of spatial pattern formation during the NO+H2/Rh(111) reaction by means of mathematical modeling
inferred← citeshttps://doi.org/10.1063/5.0237388openalex-snapshot
Wavebreakers in excitable systems and possible applications for corrosion mitigation
inferred← citeshttps://doi.org/10.1088/0305-4470/33/48/321openalex-snapshot
Static spike autosolitons in the Gray-Scott model
inferred← citeshttps://doi.org/10.1088/0951-7715/7/3/006openalex-snapshot
Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
inferred← citeshttps://doi.org/10.1091/mbc.e21-11-0542openalex-snapshot
Modulating RhoA effectors induces transitions to oscillatory and more wavelike RhoA dynamics in Caenorhabditis elegans zygotes
inferred← citeshttps://doi.org/10.1103/physreva.46.5054openalex-snapshot
Symmetry-breaking bifurcations in one-dimensional excitable media
inferred← citeshttps://doi.org/10.1103/physreve.57.299openalex-snapshot
Propagation failure in excitable media
inferred← citeshttps://doi.org/10.1103/physreve.61.6471openalex-snapshot
Phase dynamics of nearly stationary patterns in activator-inhibitor systems
inferred← citeshttps://doi.org/10.1103/physreve.77.011916openalex-snapshot
Resetting and termination of reentry in a loop-and-tail cardiac model
inferred← citeshttps://doi.org/10.1103/physrevlett.73.3165openalex-snapshot
Bifurcation to Traveling Spots in Reaction-Diffusion Systems
inferred← citeshttps://doi.org/10.1126/sciadv.aay7682openalex-snapshot
Traveling and standing waves mediate pattern formation in cellular protrusions
inferred← citeshttps://doi.org/10.1137/s0036139901384285openalex-snapshot
Stability of the Static Spike Autosolitons in the Gray--Scott Model
inferred← citeshttps://doi.org/10.1142/s0218127407019822openalex-snapshot
PHENOMENOLOGY OF RETAINED EXCITATION
inferred← citeshttps://doi.org/10.1209/0295-5075/106/68001openalex-snapshot
Propagation failure of excitation waves on trees and random networks
inferred← citeshttps://doi.org/10.15252/msb.20188585openalex-snapshot
Wave patterns organize cellular protrusions and control cortical dynamics
inferred← citeshttps://doi.org/10.4310/maa.1996.v3.n3.a1openalex-snapshot
Singular pulse wave bifurcations from front and back waves in bistable reaction-diffusion systems
inferred← citeshttps://doi.org/10.4310/maa.2000.v7.n1.a8openalex-snapshot
Hopf bifurcation of travelling pulses in some bistable reaction-diffusion systems
inferred← citeshttps://doi.org/10.48550/arxiv.nlin/0611005openalex-snapshot
Mathematical modeling of pattern formation in sub- and supperdiffusive reaction-diffusion systems
inferred← citeshttps://doi.org/10.48550/arxiv.nlin/0702013openalex-snapshot
Nonlinear oscillations and stability domains in fractional reaction-diffusion systems
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