Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity,coexisting multiple attractors,and offset boosting |
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| Authors: | Atiyeh Bayani Karthikeyan Rajagopal Abdul Jalil M. Khalaf Sajad Jafari G.D. Leutcho J. Kengne |
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| Affiliation: | 1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran;2. Center for Nonlinear Dynamics, College of Engineering, Defence University, Ethiopia;3. Ministry of Higher Education and Scientific Research, Baghdad, Iraq;4. Research Unit of Laboratory of Automation and Applied Computer (LAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon;5. Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing (URMACETS), Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon |
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| Abstract: | Analyzing chaotic systems with coexisting and hidden attractors has been receiving much attention recently. In this article, we analyze a four dimensional chaotic system which has a plane as the equilibrium points. Also this system is of the group of systems that have coexisting attractors. First, the system is introduced and then stability analysis, bifurcation diagram and Largest Lyapunov exponent of this system are presented as methods to analyze the multistability of the system. These methods reveal that in some ranges of the parameter, this chaotic system has three different types of coexisting attractors, chaotic, stable node and limit cycle. Some interesting dynamics properties such as reversals of period doubling bifurcation and offset boosting are also presented. |
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| Keywords: | Chaotic system Multistability Hidden attractors Antimonotonicity Offset boosting |
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