Synchronization of Coupled Anizochronous Auto-Oscillating Systems

TL;DR

This paper investigates the synchronization phenomena in coupled auto-oscillating systems with non-quadratic potentials, analyzing the parameter space structure and attractor properties, with a focus on van der Pol - Duffing oscillators.

Contribution

It provides a detailed analysis of synchronization tongues and internal structures in coupled systems with non-quadratic potentials, expanding understanding beyond quadratic cases.

Findings

Identification of synchronization tongue arrangements

Analysis of internal structures within synchronization regions

Discussion of attractor features in phase space

Abstract

The particular properties of synchronization are discussed for coupled auto-oscillating systems, which are characterized by non-quadratic law of potential dependence on the coordinate. In particular, structure of the parameter plane (frequency mismatch - coupling value) is considered for coupled van der Pol - Duffing oscillators. The arrangement of synchronization tongues and the particular properties of their internal structure in the parameter space are revealed. The features of attractors in the phase space are discussed.