Chaos synchronization between two different fractional-order hyperchaotic systems |
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| Institution: | 1. Department of Electrical and Computer Engineering, Centre For Advanced Studies in Engineering (CASE), Islamabad, Pakistan;2. Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan;3. Department of Cogno-Mechatronics Engineering and School of Mechanical Engineering, Pusan National University; 2 Busandaehak-ro, Geumjeong-gu, Busan 609-735, Republic of Korea;1. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China;2. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science & Technology, Nanjing 210044, China;3. Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA;4. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz 90-924, Poland;1. Physics Department, Tai Solarin University of Education, Ijagun, Ijebu Ode, Ogun State, Nigeria;2. Physics Department, University of Lagos, Lagos, Nigeria |
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| Abstract: | This work investigates chaos synchronization between two different fractional-order hyperchaotic system (FOHS)s. A novel FOHS is also proposed in this paper. The Chen FOHS is controlled to be a new FOHS and the Lü FOHS, respectively. The analytical conditions for the synchronization of these pairs of different FOHSs are derived by utilizing Laplace transform. Furthermore, synchronization between two different FOHSs is achieved by utilizing feedback control method in a quite short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter. |
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