Transition from Amplitude Death to Oscillation Death in Coupled Chua Circuits

TL;DR

This paper investigates the transition from amplitude death to oscillation death in coupled Chua circuits, revealing how coupling parameters influence this transition through simulations and hardware experiments.

Contribution

It is the first study to explore the AD-OD transition in coupled Chua circuits, demonstrating the effects of design and coupling parameters both numerically and experimentally.

Findings

AD transitions to OD via symmetry breaking

Coupling parameters critically influence the transition

Experimental validation supports numerical results

Abstract

In this piece of work, an important transition from amplitude death (AD) to oscillation death (OD) state in coupled Chua circuit has been explored for the first time. Here, mean field diffusively (MFD) coupled Chua circuits are when additionally coupled through direct coupling, it exhibits the AD-OD transition phenomena. The effect of design parameters and coupling parameters are investigated in details. For both identical and non-identical systems the AD make transition to OD through symmetry breaking. These are investigated through numerical simulations and are established through hardware experiment. The present study includes a new dimension to versatility of Chua circuit in the field of nonlinear dynamics.