English

Synchronization of two coupled multimode oscillators with time-delayed feedback

Chaotic Dynamics 2014-05-06 v3 Computational Physics

Abstract

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires many new features not inherent to finite-dimensional ones. A picture of oscillation modes in cases of identical and non-identical coupled oscillators is studied in detail. Periodical structure of amplitude death and "broadband synchronization" zones is investigated. Such a behavior occurs due to the resonances between different modes of the infinite-dimensional system with time delay.

Keywords

Cite

@article{arxiv.1401.6999,
  title  = {Synchronization of two coupled multimode oscillators with time-delayed feedback},
  author = {Yulia P. Emelianova and Valeriy V. Emelyanov and Nikita M. Ryskin},
  journal= {arXiv preprint arXiv:1401.6999},
  year   = {2014}
}

Comments

19 pages, 10 figures

R2 v1 2026-06-22T02:55:47.267Z