A Novel Memristive Chaotic System with Hidden Attractors and a Line of Equilibria

Wang, Zhen; Sriram, Sridevi; Tian, Huaigu; Rajagopal, Karthikeyan

doi:10.24200/sci.2023.61440.7307

A Novel Memristive Chaotic System with Hidden Attractors and a Line of Equilibria

Document Type : Article

Authors

¹ - Xian Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation, School of Computer Science, Xijing University, Xian, 710123, P.R. China - Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source, School of Electronic Information, Xijing University, Xian, 710123, P.R. China

² Centre for Computational Biology, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India

³ Xian Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation, School of Computer Science, Xijing University, Xian, 710123, P.R. China

⁴ - Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India - Department of Electronics and Communications Engineering and University Centre of Research & Development, Chandigarh University, Mohali, 140413, Punjab

10.24200/sci.2023.61440.7307

Abstract

This paper introduces a newly designed four-dimensional memristive chaotic system. The novel oscillator is chaotic regarding the findings that the system’s dynamic has one positive Lyapunov exponent. Also, due to the results of the equilibrium points analysis, it is shown that the oscillator has a line of equilibria, so the attractors of this system are hidden. Moreover, the study of energy dissipation of this system, power spectrum, and Poincaré sections are conducted to investigate the system's dynamics. The complex features of this system are investigated with the aid of bifurcation diagrams, Lyapunov exponents spectra, approximate entropy, and basin of attraction.

Keywords