The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators

Sergey Astakhov, Artem Gulai, Naoya Fujiwara, Jürgen Kurths

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

A system of two asymmetrically coupled van der Pol oscillators has been studied. We show that the introduction of a small asymmetry in coupling leads to the appearance of a "wideband synchronization channel" in the bifurcational structure of the parameter space. An increase of asymmetry and transition to repulsive interaction leads to the formation of multistability. As the result, the tip of the Arnold's tongue widens due to the formation of folds defined by saddle-node bifurcation curves for the limit cycles on the torus.

Original languageEnglish
Article number023102
JournalChaos
Volume26
Issue number2
DOIs
Publication statusPublished - 2016 Feb 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators'. Together they form a unique fingerprint.

Cite this