Abstract
This thesis consists of four parts: (1) the chaotic behaviors of Double-Froude system are studied numerically by phase portraits, Pooincare maps, bifurcation diagrams and Lyapunov exponent diagrams. (2) generalized synchronization and control of chaos is studied by GYC partial region stability theory. (3) the Rossler system with Legendre function is studied for chaos, hyperchaos and synchronization. (4) Yin-Yang generalized synchronization (YYGS) of Yang Lu and Yin Lu systems are studied by adaptive control based on pragmatical asymptotical stability theory.
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