Inherent global stabilization of unstable local behavior in coupled map lattices

Abstract

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.

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

References in corpus (3)

• Statistical mechanics of complex networks
• Delays, connection topology, and synchronization of coupled chaotic maps
• Spontaneous structure formation in a network of chaotic units with variable connection strengths

Cited by in corpus (3)

• Stabilization of causally and non-causally coupled map lattices
• Complete synchronization equivalence in asynchronous and delayed coupled maps
• From synchronous to one-time delayed dynamics in coupled maps