Symmetric coexisting attractors in a novel memristors-based Chua's chaotic system

TL;DR

This paper introduces a new four-dimensional chaotic system based on a memristor-enhanced Chua's circuit, demonstrating complex dynamics including coexisting attractors and multistability through numerical analysis.

Contribution

It presents a novel memristor-based chaotic system with unique coexisting attractors and multistability, expanding the understanding of memristor-enabled chaos.

Findings

Presence of symmetric and asymmetric coexisting attractors

System exhibits double-wings chaotic attractors

Demonstrates extreme multistability

Abstract

In this paper, based on the classic Chua's circuit, a charge-controlled memristor is introduced to design a novel four-dimensional chaotic system. The complex dynamics of the novel chaotic system such as equilibrium points, stability, dissipation, bifurcation diagrams, Lyapunov exponent spectra and phase portraits are investigated. By varying the initial conditions of the system, it is found from numerical simulations that the system shows some dynamics of great interests including double-wings chaotic attractors, coexisting periodic-chaotic bubbles, asymmetric and symmetric coexisting attrators. The results show that the novel circuit system has extreme multistablity.