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Bounds on Complexity in Reaction-Diffusion Systems

https://doi.org/10.1137/0146007
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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/cpa.3160380102openalex-snapshot
Global lyapunov exponents, kaplan‐yorke formulas and the dimension of the attractors for 2D navier‐stokes equations
inferredcites →https://doi.org/10.1002/sapm1973524291openalex-snapshot
Plane Wave Solutions to Reaction‐Diffusion Equations
inferredcites →https://doi.org/10.1007/978-0-387-21830-4_5openalex-snapshot
The Ergodic Theory of Axiom A Flows
inferredcites →https://doi.org/10.1007/978-1-4684-0152-3openalex-snapshot
Shock Waves and Reaction—Diffusion Equations
inferredcites →https://doi.org/10.1007/978-3-642-45455-4_33openalex-snapshot
Wavelike Activity in Biological and Chemical Media
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf01208896openalex-snapshot
Some relations between dimension and Lyapounov exponents
inferredcites →https://doi.org/10.1007/bf01215277openalex-snapshot
On characteristic exponents in turbulence
inferredcites →https://doi.org/10.1007/bf01218566openalex-snapshot
Large volume limit of the distribution of characteristic exponents in turbulence
inferredcites →https://doi.org/10.1007/bf01258529openalex-snapshot
Characteristic exponents for a viscous fluid subjected to time dependent forces
inferredcites →https://doi.org/10.1007/bf01389848openalex-snapshot
The ergodic theory of AxiomA flows
inferredcites →https://doi.org/10.1007/bf01788915openalex-snapshot
Hopf's conjecture for a class of chemical kinetics equations
inferredcites →https://doi.org/10.1007/bf02584795openalex-snapshot
An inequality for the entropy of differentiable maps
inferredcites →https://doi.org/10.1007/bfb0061433openalex-snapshot
Lyapounov exponents and stable manifolds for compact transformations
inferredcites →https://doi.org/10.1016/0022-0396(76)90032-2openalex-snapshot
Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
inferredcites →https://doi.org/10.1016/0167-2789(83)90297-xopenalex-snapshot
Asymptotic analysis of the navier-stokes equations
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)90279-3openalex-snapshot
Singular filaments organize chemical waves in three dimensions
inferredcites →https://doi.org/10.1016/0196-8858(81)90041-5openalex-snapshot
Target pattern solutions to reaction-diffusion equations in the presence of impurities
inferredcites →https://doi.org/10.1016/0196-8858(81)90044-0openalex-snapshot
Spiral waves for λ-ω systems, II
inferredcites →https://doi.org/10.1038/225535b0openalex-snapshot
Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System
inferredcites →https://doi.org/10.1063/1.1681288openalex-snapshot
Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
inferredcites →https://doi.org/10.1111/j.1749-6632.1980.tb29706.xopenalex-snapshot
TIME PERIODIC BUT SPATIALLY IRREGULAR SOLUTIONS TO A MODEL REACTION‐DIFFUSION EQUATION
inferredcites →https://doi.org/10.1126/science.175.4022.634openalex-snapshot
Spiral Waves of Chemical Activity
inferredcites →https://doi.org/10.1126/science.180.4091.1171openalex-snapshot
Horizontal Bands in the Belousov Reaction
inferredcites →https://doi.org/10.1137/0135001openalex-snapshot
Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
inferredcites →https://doi.org/10.1137/0135045openalex-snapshot
Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
inferredcites →https://doi.org/10.1137/0142054openalex-snapshot
Spiral Waves in Reaction-Diffusion Equations
inferredcites →https://doi.org/10.1137/0515019openalex-snapshot
Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
inferredcites →https://doi.org/10.1515/zpch-1986-267133openalex-snapshot
Oscillations in Chemical Systems
inferredcites →https://doi.org/10.21136/cpmf.1950.122339openalex-snapshot
Linear operators. [I.]
inferredcites →https://doi.org/10.2307/1971392openalex-snapshot
Characteristic Exponents and Invariant Manifolds in Hilbert Space

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jmaa.2000.7084openalex-snapshot
Asymptotic Synchronization in Lattices of Coupled Three-Dimension Nonlinear Chaotic Equations
inferred← citeshttps://doi.org/10.1007/978-3-030-71877-0_6openalex-snapshot
From Predictability to the Theories of Change
inferred← citeshttps://doi.org/10.1007/bf00332916openalex-snapshot
Symmetry breaking in neural nets
inferred← citeshttps://doi.org/10.1007/bf01057390openalex-snapshot
Dimension of a central manifold for semilinear parabolic equations
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90189-gopenalex-snapshot
Chemical waves in inhomogeneous excitable media
inferred← citeshttps://doi.org/10.1016/j.cnsns.2017.08.021openalex-snapshot
Generative complexity of Gray–Scott model
inferred← citeshttps://doi.org/10.1017/s0004972700029257openalex-snapshot
Topological dimensions of global attractors for semilinear PDE's with delays
inferred← citeshttps://doi.org/10.1063/1.1566171openalex-snapshot
Space–time complexity in Hamiltonian dynamics
inferred← citeshttps://doi.org/10.1080/00036818708839678openalex-snapshot
Attractors for reaction-diffusion equations: existence and estimate of their dimension
inferred← citeshttps://doi.org/10.1088/0305-4470/24/17/028openalex-snapshot
On a class of stochastic reaction-diffusion equations in two space dimensions
inferred← citeshttps://doi.org/10.1090/qam/2010-68-04openalex-snapshot
inferred← citeshttps://doi.org/10.1090/s0033-569x-2010-01167-7openalex-snapshot
Two-dimensional reaction-diffusion equations with memory
inferred← citeshttps://doi.org/10.1090/s0065-9266-2012-00669-1openalex-snapshot
Strange Attractors for Periodically Forced Parabolic Equations
inferred← citeshttps://doi.org/10.1103/physrevlett.60.1773openalex-snapshot
Information transport in spatiotemporal systems
inferred← citeshttps://doi.org/10.1137/0148048openalex-snapshot
Local Nonlinear Stability of the Steady State in an Isothermal Catalyst
inferred← citeshttps://doi.org/10.1137/0520057openalex-snapshot
Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
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