English

Birth and Death of Chimera: Interplay of Delay and Multiplexing

Chaotic Dynamics 2017-04-19 v1 Disordered Systems and Neural Networks

Abstract

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex network framework and find that an interplay of delay and multiplexing brings about an enhanced or suppressed appearance of chimera state depending on the distribution as well as the parity of delay values in the layers. Additionally, we report a layer chimera state with an existence of one layer displaying coherent and another layer demonstrating incoherent dynamical evolution. The rich variety of dynamical behavior demonstrated here can be used to gain further insight into the real-world networks which inherently possess such multi-layer architecture with delayed interactions.

Keywords

Cite

@article{arxiv.1610.01761,
  title  = {Birth and Death of Chimera: Interplay of Delay and Multiplexing},
  author = {Saptarshi Ghosh and Anil Kumar and Anna Zakharova and Sarika Jalan},
  journal= {arXiv preprint arXiv:1610.01761},
  year   = {2017}
}