A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor

Abstract

Chaotic signals generated by chaotic oscillators based on memory elements are suitable for use in the field of confidential communications because of their very good randomness. But often their maximum Lyapunov exponent is not high enough, so the degree of randomness is not enough. It can be chaos enhanced by transforming it to fractional order using the Caputo differential definition. In this paper, based on the proposed hyperchaotic oscillator, it is extended to a fractional-order form to obtain a chaos-enhanced fractional-order memcapacitor meminductor system, in which several different styles of chaotic and hyperchaotic attractors are found. The dynamical behaviour of the system is studied using bifurcation diagrams, Lyapunov exponent spectrums and Lyapunov dimensions. The multistability of the system is explored in different initial orbits, and the spectral entropy complexity of this system is examined. Finally, a hardware implementation of the memcapacitor meminductor system is given, which demonstrates the effectiveness of the system. This study provides a reference for the study of chaos-enhanced.

Dynamical analysis of a discrete Aihara neuron under a locally active memristor as electromagnetic radiation and its DSP implementation

“…Both continuous chaotic systems and discrete chaotic maps can be achieved with DSP platform [41][42][43].…”

Secure Multiple-Image Transfer by Hybrid Chaos System: Encryption and Visually Meaningful Images

“…In this paper, to solve these problems and create a chaos system that has a wider chaos area with a uniform distribution, a hybrid chaos system is introduced using fractional calculations. The use of fractional calculations for the development of chaotic systems has also been employed as a novel solution; for example, see [21][22][23]. Several tests used to explore the proposed hybrid chaos system demonstrate its efficiency.…”