Abstract
In this thesis, the chaotic behavior of new Double Ge-Ku system is studied by phase portraits, time histories, Poincare maps, Lyapunov exponents and bifurcation diagrams. New type for chaotic synchronization, double and multiple symplectic synchronization, are obtained by active control. A new kind of chaotic generalized synchronization, different translation pragmatical generalized synchronization, is obtained by pragmatical asymptotical stability theorem and partial region stability theory. A new method, using new fuzzy model, is studied for fuzzy modeling and synchronization of Sprott 4 system and Rossler system. Moreover, the new fuzzy logic constant controller is studied for projective synchronization and chaotic system with uncertainty. Numerical analyses, such as phase portraits and time histories are provided to verify the effectiveness of all above studies.
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