Complete description of weakly coupled chaotic subsystems

Lev Glebsk. , Antonio Morante. , .

Abstract


We study the dynamics of one--dimensional lattices of weakly coupled maps of $\R$. The local dynamics has an invariant hyperbolic set. Moreover, the trajectories from non expanding (and weakly expanding) points go to infinity (for local dynamical system). Under these assumptions we show that, if the coupling is weak enough, the extended system has similar dynamics.

Keywords


Coupled map lattices, chaos, partial differential equations

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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