Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems |
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| Institution: | 1. Electrical and Electronic Engineering, Autonomous University of Tamaulipas, Rodhe Campus, Highway Reynosa–San Fernando, Reynosa C.P. 88779, Tamaulipas, Mexico;2. CONACYT Research Fellow, Mexico;3. School of Engineering, Autonomous University of Chihuahua (UACH), Campus II, Circuito Universitario, Chihuahua, C.P. 31100, Chihuahua, Mexico;4. Research Laboratory on Optimal Design, Devices and Advanced Materials -OPTIMA-, Department of Mathematics and Physics, ITESO, Periférico Sur Manuel Gómez Morín 8585 Tlaquepaque C.P. 45604, Jalisco, Mexico;1. Department of Automation, Tianjin University of Science and Technology, Tianjin 300222, PR China;2. School of Electrical Engineering and Automation, Tiangong University, Tianjin 300387, PR China;1. University of Carthage, National Institute of Applied Sciences and Technology, Computer Engineering and Mathematics Department, Centre Urbain Nord, BP 676, 1080 Tunis Cedex, Tunisia;2. University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, BP W, 7021 Zarzouna, Bizerta, Tunisia |
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| Abstract: | Chaos synchronization, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, chaos synchronization between nonlinear systems has been extensively studied, and many types of synchronization have been announced. This paper introduces another novel type of chaos synchronization – full state hybrid projective synchronization (FSHPS), which includes complete synchronization, anti-synchronization and projective synchronization as its special item. Based on the Lyapunov’s direct method, the general FSHPS scheme is given and illustrated with Lorenz chaotic system and hyperchaotic Chen system as examples. Numerical simulations are used to verify the effectiveness of the proposed scheme. |
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