Multistability and Coexisting Attractors in a New Circulant Chaotic System
Karthikeyan RajagopalCenter for Nonlinear Dynamics, Defence University, Bishoftu, EthiopiaAkif AkgülDepartment of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya, TurkeyViet–Thanh PhamNonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamFawaz E. AlsaadiDepartment of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi ArabiaFahimeh NazarimehrBiomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, IranFuad E. AlsaadiDepartment of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSajad JafariNonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2019en
ABI
Аннотация
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.
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