Some physical models of the reaction-diffusion equation, and coupled map lattices

Ya B. Pesin; A. A. Yurchenko

doi:10.1070/RM2004v059n03ABEH000737

Some physical models of the reaction-diffusion equation, and coupled map lattices

Ya B. Pesin
, A. A. Yurchenko

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A number of models are surveyed which appear in physics, biology, chemistry, and other areas and which are described by a reaction-diffusion equation. The corresponding coupled map lattice (CML) system is obtained by discretizing this equation. These CMLs are classified by the type of the dynamics of the local map. Several different types of behavior are observed: Morse-Smale type systems, systems with attractors, and systems with Smale horseshoes.

Original language	English (US)
Pages (from-to)	481-513
Number of pages	33
Journal	Russian Mathematical Surveys
Volume	59
Issue number	3
DOIs	https://doi.org/10.1070/RM2004v059n03ABEH000737
State	Published - 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/RM2004v059n03ABEH000737

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abstract = "A number of models are surveyed which appear in physics, biology, chemistry, and other areas and which are described by a reaction-diffusion equation. The corresponding coupled map lattice (CML) system is obtained by discretizing this equation. These CMLs are classified by the type of the dynamics of the local map. Several different types of behavior are observed: Morse-Smale type systems, systems with attractors, and systems with Smale horseshoes.",

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AB - A number of models are surveyed which appear in physics, biology, chemistry, and other areas and which are described by a reaction-diffusion equation. The corresponding coupled map lattice (CML) system is obtained by discretizing this equation. These CMLs are classified by the type of the dynamics of the local map. Several different types of behavior are observed: Morse-Smale type systems, systems with attractors, and systems with Smale horseshoes.

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Some physical models of the reaction-diffusion equation, and coupled map lattices

Abstract

All Science Journal Classification (ASJC) codes

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