On the synchronization of coupled forced negative conductance circuits: A numerical study

TL;DR

This paper investigates the synchronization behavior of coupled forced negative conductance circuits through numerical methods, analyzing stability and chaos using phase portraits, Master Stability Function, and Lyapunov exponents.

Contribution

It provides a detailed numerical analysis of synchronization phenomena in coupled negative conductance circuits, including stability conditions and chaotic attractor behavior.

Findings

Complete synchronization achieved under specific coupling schemes

Stability of synchronized states analyzed with Master Stability Function

Chaotic attractors exhibit distinct dynamical behaviors

Abstract

In this paper, a numerical study on the complete synchronization phenomenon exhibited by coupled forced negative conductance circuits is presented. The nonlinear system exhibiting two types of chaotic attractors is studied for complete synchronization of the identical chaotic attractors through phase portraits under one type of coupling. The stability of the synchronized states is observed for different coupling schemes of the circuit variables through {\emph{Master Stability Function}}. The Conditional lyapunov exponents explaining the dynamical behaviour of the driven system is presented.