Dissertation > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory

Research on synchronization control of chaotic systems

Author PengYanYan
Tutor LiShuMin
School Kunming University of Science and Technology
Course Applied Mathematics
Keywords fractional-order adaptive feedback controller chaos synchronization generali-zed projective synchronization lag synchronization
CLC O415.5
Type Master's thesis
Year 2011
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Chaos is a very complex moving form of nonlinear dynamics system, it exists widely in nature, such as chemistry、electronics、physics、thermodynamics and other social or technical sciences. Since Pecora and Carroll introduced a method to synchronization two identical systems with different initial condition, chaos synchronization has been paid mach attention due to wide applications in mechanics, biology, physics, chemistry, electronics, information science, secure communication and other fields.The main work of this thesis can be briefly described as follows:1. Based on the ideas of feedback control and stability theory of fractional order, sync-hronization between these two chaotic systems is achieved by proposing a new adaptive fe-edback controller and a parameter estimation update law and adaptive synchronization bet-ween integer order Chen chaos system with Lu chaos system.2. Based on stability theory, generalized projective synchronization between integer-order Lorenz chaos system and one other Lorenz chaos system with unknown parameters. Generalized projective synchronization of two indentical interger-order Lorenz chaos systems and different chaos system is also achieved.3. Based on the ideas of tracking control, a systematic design procedure to lag sync-hronizaiton and the lag synchronization is presented. The lag synchronization of two inden-tical Rossler chaos systems and two different hyper chaos system is also achieved. Numeri-cal simulation are provided for illustration and verification of the proposed method.

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