A Gallery of Synchronization Phenomena in Resistively Coupled Non-autonomous Chaotic Circuits

Abstract

This work deals with the study of a variety of synchronization phenomena in the case of resistively coupled nonautonomous, nonlinear circuits. In this paper, a very simple but very representative second order, non-autonomous, nonlinear circuit, is used, the Lacy circuit. Also, two different approaches of coupling between such circuits are applied. The first one is the well-known mutual coupling via a linear resistor, in which the phenomena of complete and anti-phase synchronization are observed and explained based on the nature of this kind of nonlinear systems. The second one is a ring connection in a neural-type system, where the Lacy acts as the master circuit. In this case a very interesting type of partial synchronization, between the other two circuits of this topology, is presented for the first time.

Keywords

• Nonlinear system
• Lacy circuit
• chaos
• mutual coupling
• ring connection
• anti-phase synchronization
• complete chaotic synchronization
• partial synchronization.