English

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

Disordered Systems and Neural Networks 2013-01-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0512555,
  title  = {Impact of bistability in the synchronization of chaotic maps with delayed coupling},
  author = {Pedro G. Lind and Ana Nunes and Jason A. C. Gallas},
  journal= {arXiv preprint arXiv:cond-mat/0512555},
  year   = {2013}
}

Comments

5 pages, 4 figures, Proceedings for the conference LAWNP05