Fuzzy phase transition in a 1D coupled stable-map lattice

Details Fuzzy phase transition in a 1D coupled stable-map lattice Fuzzy phase transition in a 1D coupled stable-map lattice

1997-09-12

arxiv.org/abs/chao-dyn/9709016v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, 10 PostScript files for 9 figures

Scientific paper

A coupled-map lattice showing complex behavior in presence of a fully negative Lyapunov spectrum is considered. A phase transition from ordered to disordered evolution upon changing diffusive coupling is studied in detail. Various indicators provide a coherent description of the scenario: the existence of an intermediate transition region characterized by an irregular alternancy of periodic and chaotic evolution.

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