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A New Imprisoned Strange Attractor

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

Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

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Karthikeyan Rajagopal

Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia

Department of Electronics Engineering, Durban University of Technology, South Africa

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Fawaz E. Alsaadi

Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia

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Tasawar Hayat

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia

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, and

Sajad Jafari

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

Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

E-mail Address: sajad.jafari@tdtu.edu.vn

Corresponding author.

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https://doi.org/10.1142/S0218127419501815Cited by:8 (Source: Crossref)

Abstract

This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.

Keywords:

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