Anti-synchronization in two non-identical hyperchaotic systems with known or unknown parameters |
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| Authors: | Zuolei Wang |
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| Institution: | 1. Department of Physics, University of California, San Diego, La Jolla, 92093 CA, United States;2. MemComputing, Inc., San Diego, CA, 92130, United States;1. Institute of Theoretical Physics, Academia Sinica, Beijing 100190, China;2. Department of Physics, Tohoku University, Sendai 980-8578, Japan;1. Department of Traffic and Control Engineering, School of Automation, Northwestern Polytechnical University, Xi’an Shaanxi, 710129, China;2. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;3. Department of Mathematics, Southeast University, Nanjing 210096, China;4. Department of Electronic Engineering, City University of Hong Kong, Hong Kong Special Administrative Region |
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| Abstract: | This paper considers the anti-synchronization problem between hyperchaotic Rössler system and hyperchaotic Lorenz system. Two anti-synchronization schemes of them are proposed. Active control is applied when system parameters are known and adaptive control is employed when system parameters are unknown or uncertain. Controllers and update laws of parameters are designed based on Lyapunov stability theory. In both cases, sufficient conditions for the anti-synchronization are obtained analytically. Finally, numerical simulations are provided to show the effectiveness of the proposed schemes. |
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