TY - JOUR
T1 - Some physical models of the reaction-diffusion equation, and coupled map lattices
AU - Pesin, Ya B.
AU - Yurchenko, A. A.
PY - 2004
Y1 - 2004
N2 - 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.
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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U2 - 10.1070/RM2004v059n03ABEH000737
DO - 10.1070/RM2004v059n03ABEH000737
M3 - Article
AN - SCOPUS:8644283697
SN - 0036-0279
VL - 59
SP - 481
EP - 513
JO - Russian Mathematical Surveys
JF - Russian Mathematical Surveys
IS - 3
ER -