Numerical and analytical studies on the complete synchronization of the variant of Murali-Lakshmanan-Chua circuits

TL;DR

This paper investigates how two coupled Murali-Lakshmanan-Chua circuits synchronize completely, using both numerical simulations and analytical methods to understand the transition from unsynchronized to synchronized states.

Contribution

It provides a combined numerical and analytical analysis of complete synchronization in a variant of Murali-Lakshmanan-Chua circuits, highlighting the transition mechanism.

Findings

Transition from unsynchronized to synchronized states observed

Synchronization characterized through phase portraits

Analytical and numerical results agree on synchronization conditions

Abstract

In this paper we present numerical and analytical studies on the complete synchronization phenomena exhibited by unidirectionally coupled two variant of Murali-Lakshmanan-Chua circuits. The transition of the coupled system from an unsynchronized state to a state of complete synchronization under the influence of the coupling parameter is observed through phase portraits obtained numerically and analytically.