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

Ya B. Pesin, A. A. Yurchenko

Research output: Contribution to journalArticlepeer-review

14 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 languageEnglish (US)
Pages (from-to)481-513
Number of pages33
JournalRussian Mathematical Surveys
Volume59
Issue number3
DOIs
StatePublished - May 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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