Scientia Iranica

Scientia Iranica

A novel memristive chaotic system with hidden attractors and a line of equilibria

Document Type : Research Article

Authors
1 School of Mathematics and Computer Science, Yan'an University, Yan'an, China.
2 School of Computer Science, Xi'an Key Laboratory of Human-Machine Integration and Control Technology for Intelligent Rehabilitation, Xijing University, Xi'an, China.
3 Centre for Computational Biology, Chennai Institute of Technology, Tamil Nadu, India.
4 Center for Research, Easwari Engineering College, Chennai, India.
5 Center for Research, SRM TRP Engineering College, Trichy, India.
10.24200/sci.2023.61440.7307
Abstract
This paper introduces a newly designed four-dimensional memristive chaotic system. The novel oscillator is chaotic as the system's dynamics have one positive Lyapunov Exponent (LE). Also, based on 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, LE spectra, approximate entropy, and basins of attraction.
Keywords
Subjects

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Volume 32, Issue 17
Transactions on Computer Science & Engineering and Electrical Engineering
September and October 2025 Article ID:7307

  • Receive Date 13 November 2022
  • Revise Date 13 February 2023
  • Accept Date 15 August 2023