An Optimized Memristor-Based Hyperchaotic System With Controlled Hidden Attractors

Xiaotao Min,Simin Yu,Pengfei Zhou,Herbert Ho-Ching Iu,Xiaoyuan Wang

doi:10.1109/access.2019.2938183

Abstract

A new memristor-based hyperchaotic system is described in this paper. After studying on its basic dynamic characteristics, it is found that the hidden attractors can be obtained by adding a nonzero parameter (which named optimized factor in this paper) to the system. Moreover, when the optimized factor is varying, the corresponding hidden attractors of the system is symmetrical and can convert between double scrolls and a single scroll. Further, the optimized memristor-based hyperchaotic system is implemented by analog circuits. Corresponding experimental results are completely consistent with the theoretical analysis.

Highlights

Chua [1] proposed the memristor as the fourth basic circuit element in 1971 by analyzing the completeness of circuit
Memristor can be used in chaotic circuit because of its non-linear characteristics [4]
During further study on the above hyperchaotic system shown in (10), it is found that by adding a nonzero parameter f in the second term of the system equation, the hidden and controllable attractors are discovered, the specific form of the optimized system equation is shown as below:

Summary

INTRODUCTION

Chua [1] proposed the memristor as the fourth basic circuit element in 1971 by analyzing the completeness of circuit. X. Min et al.: Optimized Memristor-Based Hyperchaotic System With Controlled Hidden Attractors. Based on (2), a smooth ideal flux-controlled memristor model was researched in [9], whose memductance is given by: G(φ) = α + βφ. CONSTRUCTION OF MEMRISTOR-BASED HYPERCHAOTIC SYSTEMS As a new nonlinear and nano-scale element in modern circuit theory, memristor is one of the optimal components to construct novel chaotic systems, especially the hyperchaotic systems Take this as a starting point, a hyperchaotic memristive oscillating system with two same order of magnitude Lyapunov exponents is presented based on the above nonvolatile voltage-controlled memristor mathematic model:. The memductance of the voltage controlled memristor shown in (3), here the variable w is working as the dimensionless mathematical representation of the flux φ.

OPTIMIZED HYPERCHAOTIC SYSTEM AND ITS

HARDWARE REALIZATION OF THE OPF CONTROLLABLE HYPERCHAOTIC SYSTEM

R1C1 y

CONCLUSION