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

Articles in Press

Document Type : Research Article

Authors

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

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

3 Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India

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.

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Scientia Iranica

Articles in Press, Corrected Proof
Available Online from 12 May 2026

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History

  • Receive Date: 13 November 2022
  • Revise Date: 13 February 2023
  • Accept Date: 16 August 2023

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