Impact of bistability in the synchronization of chaotic maps with delayed coupling

Details Impact of bistability in the synchronization of chaotic maps with delayed coupling Impact of bistability in the synchronization of chaotic maps with delayed coupling

2005-12-21

arxiv.org/abs/cond-mat/0512555v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures, Proceedings for the conference LAWNP05

Scientific paper

10.1016/j.physa.2006.04.091

We investigate the impact of bistability in the emergence of synchronization in networks of chaotic maps with delayed coupling. The existence of a single finite attractor of the uncoupled map is found to be responsible for the emergence of synchronization. No synchronization is observed when the local dynamics has two competing chaotic attractors whose orbits are dense on the same interval. This result is robust for regular networks with variable ranges of interaction and for more complex topologies.

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