English

Anticipatory synchronization with variable time delay and reset

Chaotic Dynamics 2015-05-13 v1 Adaptation and Self-Organizing Systems

Abstract

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is realized with intermittant information about the driving system at intervals fixed by a reset time. The stability of the synchronization manifold is analyzed with the resulting discrete error dynamics. The numerical calculations in standard systems like the Rossler and Lorenz systems are used to demonstrate the method and the results of the analysis.

Keywords

Cite

@article{arxiv.0810.5613,
  title  = {Anticipatory synchronization with variable time delay and reset},
  author = {G. Ambika and R. E. Amritkar},
  journal= {arXiv preprint arXiv:0810.5613},
  year   = {2015}
}

Comments

11 pages, 9 figures. submitted to Phys. Rev. E

R2 v1 2026-06-21T11:36:49.391Z