Inherent global stabilization of unstable local behavior in coupled map lattices

Details Inherent global stabilization of unstable local behavior in coupled map lattices Inherent global stabilization of unstable local behavior in coupled map lattices

2004-07-05

arxiv.org/abs/nlin/0407008v1

International Journal of Bifurcation and Chaos 15 (2005) 1665-1676

Nonlinear Sciences

Chaotic Dynamics

17 pages, 10 figures, accepted for publication in Int.J.Bif.Chaos

Scientific paper

The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global stabilization can be achieved for both synchronous and asynchronous updating. Two necessary conditions for inherent global stabilization are derived analytically.

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