Multistability and Coexisting Attractors in a New Circulant Chaotic System-Reference-Cited by-同舟云学术

Multistability and Coexisting Attractors in a New Circulant Chaotic System

Published:2019-12-10 Issue:13 Volume:29 Page:1950174
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Rajagopal Karthikeyan¹²,Akgul Akif³,Pham Viet-Thanh⁴^ORCID,Alsaadi Fawaz E.⁵,Nazarimehr Fahimeh⁶,Alsaadi Fuad E.⁷,Jafari Sajad⁴

Affiliation:

1. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

2. Institute of Energy, Mekelle University, Ethiopia

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

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

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

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

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

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.

Funder

Center for Nonlinear Dynamics, Defence University, Ethiopia

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127419501748

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