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Multistability and Coexisting Attractors in a New Circulant Chaotic System

Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

Institute of Energy, Mekelle University, Ethiopia

Department of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya, Turkey

E-mail Address: aakgul@sakarya.edu.tr

E-mail Address: aakgul@subu.edu.tr

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Viet-Thanh Pham

http://orcid.org/0000-0001-9045-3633

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

E-mail Address: phamvietthanh@tdtu.edu.vn

Corresponding author.

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Fawaz E. Alsaadi

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

E-mail Address: fawazkau@gmail.com

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Fahimeh Nazarimehr

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

E-mail Address: fahimenazarimehr@yahoo.com

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Fuad E. Alsaadi

Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

E-mail Address: fuad_alsaadi@yahoo.com

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, and

Sajad Jafari

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

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https://doi.org/10.1142/S0218127419501748Cited by:36 (Source: Crossref)

Abstract

In this paper, a new four-dimensional chaotic flow is proposed. The system has a cyclic symmetry in its structure and shows a complicated, chaotic attractor. The dynamical properties of the system are investigated. The system shows multistability in an interval of its parameter. Fractional order model of the proposed system is discussed in various fractional orders. Bifurcation analysis of the fractional order system shows that it has a kind of multistability like the integer order system, which is a very rare phenomenon. Circuit realization of the proposed system is also carried out to show that it is usable for engineering applications.

Keywords:

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