The Class Of Chaotic Systems, Synchronization Control

Chaos is an important branch of nonlinear science. Chaos synchronization control has been paid much attention due to wide applications in physics, chemistry, biology, mechanics, electronics, information science, secure communication and other fields.This Master's thesis is mainly concerned with synchronization control of several classes of chaotic systems. Main results are as follows:1. By constructing appropriate nonlinear control functions, the exponential anti-synchronization between integer order Lu chaotic system and integer order Liu chaotic system is achieved.2. Based on the Laplace transform theory, generalized projective synchronization between fractional order Wu-Wang chaotic system and fractional order Liu chaotic system is achieved. Generalized projective synchronization of two identical fractional order Wu-Wang chaotic systems is also achieved.3. Based on the Laplace transform theory, synchronization of Rossler chaotic systems with different orders is achieved.