Universal occurrence of mixed-synchronization in counter-rotating nonlinear coupled oscillators

TL;DR

This paper demonstrates the universal presence of mixed-synchronization in counter-rotating nonlinear oscillators and compares it with co-rotating systems, also observing amplitude death across different oscillator types.

Contribution

It reveals the universal occurrence of mixed-synchronization in counter-rotating oscillators and compares these phenomena with co-rotating systems, including amplitude death.

Findings

Mixed-synchronization observed in counter-rotating oscillators

Amplitude death occurs in coupled nonlinear oscillators

Comparison between counter-rotating and co-rotating systems

Abstract

By coupling counter--rotating coupled nonlinear oscillators, we observe a ``mixed'' synchronization between the different dynamical variables of the same system. The phenomenon of amplitude death is also observed. Results for coupled systems with co--rotating coupled oscillators are also presented for a detailed comparison. Results for Landau-Stuart and Rossler oscillators are presented.