Coherent regimes of mutually coupled Chua's circuits

TL;DR

This paper investigates how strongly coupled Chua's circuits with parameter mismatches can be controlled to achieve desired dynamical regimes, using a theoretical approach validated by simulations and experiments.

Contribution

It introduces a method to target specific collective behaviors in coupled circuits by combining parameter diversity and coupling strength, extending control to regimes outside individual circuit parameters.

Findings

Successful targeting of dynamical regimes through parameter and coupling adjustments

Validation of theoretical predictions with numerical simulations and electronic circuit experiments

Potential application to large populations of coupled circuits with mismatched parameters

Abstract

We study the dynamical regimes that emerge from the strongly coupling between two Chua's circuits with parameters mismatch. For the region around the perfect synchronous state we show how to combine parameter diversity and coupling in order to robustly and precisely target a desired regime. This target process allows us to obtain regimes that may lie outside parameter ranges accessible for any isolated circuit. The results are obtained by following a recently developed theoretical technique, the order parameter expansion, and are verified both by numerical simulations and on electronic circuits. The theoretical results indicate that the same predictable change in the collective dynamics can be obtained for large populations of strongly coupled circuits with parameter mismatches.