Structure of the eigenfrequencies parameter space for the system of dissipatively coupled oscillators

TL;DR

This paper explores the eigenfrequency parameter space of dissipatively coupled van der Pol oscillators, revealing synchronization configurations, mode structures, and quasi-periodic regions, with comparisons between phase and original models.

Contribution

It provides a detailed analysis of the eigenfrequency space for coupled oscillators, highlighting the structure of synchronization and quasi-periodic modes, and compares phase and original system models.

Findings

Identification of various synchronization configurations.

Description of the organization of quasi-periodic areas.

Comparison between phase model and original system results.

Abstract

Structure of the eigenfrequencies parameter space for three and four dissipatively coupled van der Pol oscillators is discussed. Situations of different codimension relating to the configuration of the full synchronization area as well as a picture of different modes in its neighborhood are revealed. The organization of quasi-periodic areas of different dimensions is considered. The results for the phase model and for the original system are compared.