Transient spatiotemporal chaos

Renate Wackerbauer

University of Alaska Fairbanks, Physics Department, Fairbanks, USA

In various excitable systems spatiotemporal chaos collapses into a regular asymptotic state, with the average lifetime increasing exponentially with the network size. During the transient phase spatiotemporal chaos is extensive; the Kaplan-Yorke dimension increases linearly with the network size. The asymptotic state is characterized by negative transverse Lyapunov exponents on the attractor of the invariant synchronization manifold. The average lifetime depends on the number of transverse directions that are unstable along a typical excitation cycle.

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