Experimental realization of mixed-synchronization in counter-rotating coupled oscillators

TL;DR

This paper experimentally demonstrates mixed-synchronization in counter-rotating chaotic oscillators, revealing complex synchronization patterns with analytical and numerical support, advancing understanding of nonlinear coupled systems.

Contribution

First experimental verification of mixed-synchronization in counter-rotating chaotic oscillators with analytical and numerical analysis.

Findings

Mixed-synchronization observed in experiments

Analytical stability analysis conducted

Numerical simulations confirm experimental results

Abstract

Recently, a novel mixed-synchronization phenomenon is observed in counter-rotating nonlinear coupled oscillators. In mixed-synchronization state: some variables are synchronized in-phase, while others are out-of-phase. We have experimentally verified the occurrence of mixed-synchronization states in coupled counter-rotating chaotic piecewise Rossler oscillator. Analytical discussion on approximate stability analysis and numerical confirmation on the experimentally observed behavior is also given.