Megastability in a quasi-periodically forced system exhibiting multistability,quasi-periodic behaviour,and its analogue circuit simulation |
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| Affiliation: | 1. School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China;2. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China;1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran;2. Ministry of Higher Education and Scientific Research, Baghdad, Iraq;3. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia;4. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & 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 |
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| Abstract: | In this paper, we present a new quasi-periodically forced system which exhibits coexistence of an infinite number of nested attractors (megastability) along with quasi-periodic and multistable behaviours. The dynamical behaviour of the system is analysed using the Lyapunov exponents, Lyapunov spectrum, bifurcation diagrams, and phase plots. An analogue circuit of the proposed system is designed and simulated using the NI Multisim simulation environment to access the unusual dynamical behaviour of the proposed system. |
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| Keywords: | Megastability Multistability Quasi-periodically Forced Nonlinear System Strange attractors Analogue circuit |
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