A New Memristive Chaotic System with a Plane and Two Lines of Equilibria-Reference-Cited by-同舟云学术

A New Memristive Chaotic System with a Plane and Two Lines of Equilibria

Published:2021-04 Issue:05 Volume:31 Page:2150066
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Wang Zhen¹,Khalaf Abdul Jalil M.²,Jafari Sajad³^ORCID,Panahi Shirin³,Li Chunbiao⁴,Hussain Iqtadar⁵

Affiliation:

1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, P. R. China

2. Ministry of Higher Education and Scientific Research, Baghdad, Iraq

3. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

4. School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, P. R. China

5. Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

Abstract

A new 4D memristive chaotic system with an infinite number of equilibria is proposed via exhaustive computer search. Interestingly, such a new memristive system has a plane of equilibria and two other lines of equilibria. Lyapunov exponent and bifurcation analysis show that this system has chaotic solutions with coexisting attractors. The basins of attraction of the coexisting attractors show chaos, stable fixed-points, and unbounded solutions. Furthermore, the 2D parameter space of the system is explored to find the optimum values of the parameters using the ALO (Ant Lion Optimizer) optimization algorithm.

Funder

Key Research and Development Program of Shaanxi

Innovation Capability Support Program of Shaanxi

Science and Technology Program of Xi'an

Natural Science Basic Research Plan in Shandong Province of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127421500668

Reference58 articles.