English

How to induce multiple delays in coupled chaotic oscillators?

Chaotic Dynamics 2015-06-16 v1

Abstract

Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems and time-delayed systems. It is characterized by a lag configuration that establishes a unique time shift between all the state variables of the coupled systems. In this report, an attempt is made how to induce multiple lag configurations in coupled systems when different pairs of state variables attain different time shift. A design of coupling is presented to realize this multiple lag synchronization. Numerical illustration is given using examples of the R\"ossler system and the slow-fast Hindmarsh-Rose neuron model. The multiple lag scenario is physically realized in an electronic circuit of two Sprott systems.

Keywords

Cite

@article{arxiv.1307.5380,
  title  = {How to induce multiple delays in coupled chaotic oscillators?},
  author = {Sourav K. Bhowmick and Dibakar Ghosh and Prodyot K. Roy and Jürgen Kurths and Syamal K. Dana},
  journal= {arXiv preprint arXiv:1307.5380},
  year   = {2015}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-22T00:54:41.274Z