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

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

E-mail Address: williamchristian@163.com

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Abdul Jalil M. Khalaf

Ministry of Higher Education and Scientific Research, Baghdad, Iraq

E-mail Address: abduljaleel.khalaf@uokufa.edu.iq

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Sajad Jafari

https://orcid.org/0000-0002-6845-7539

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

E-mail Address: sajadjafari83@gmail.com

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Shirin Panahi

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

E-mail Address: sh.panahi89@gmail.com

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Chunbiao Li

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

E-mail Address: goontry@126.com

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, and

Iqtadar Hussain

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

E-mail Address: iqtadarqau@gmail.com

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https://doi.org/10.1142/S0218127421500668Cited by:4 (Source: Crossref)

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.

Keywords:

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