SCIENCE FOR EDUCATION

The study of multistability and external synchronization in nonautonomous system of two coupled Van Der Pol oscillators with repulsive coupling

A. P. Gulay, A. V. Bukh

Saratov State University

Abstract: In this paper we study the bifurcational mechanisms of synchronization and multistability formation in a system of two interacting van der Pol oscillators, one of which is under external harmonic forcing. We draw a two-parametric bifurcation diagram for phasereduced system and study its evolution in transition from symmetrical to asymmetrical repulsive interaction. Relying on the results of bifurcation analysis of non-reduced system we conclude that the synchronization scenarios found in the phase-reduced system correspond to the ones in the non-reduced system.

Keywords: Synchronization, multistability, bifurcations, asymmetrical coupling.

UDC: 537.86

Received: 10.12.2014