| Chaos is an irregular complicated dynamical behavior, which is ubiquitous in everyfield. In virtue of its characteristics such as sensitivity to initial values, high randomicityand certainty to nonlinear equations, chaos attracts great attention of people. Chaoticsynchronization is an important research aspect in chaotic science, which has receivedrapidly development in the application of secure communications and image processing.The main contributions of this paper are list as follows:(1) Synchronization study of Liu chaotic system. For the Liu systems withdisturbance or non-disturbance, two state observers are constructed respectively. Firstly,carries out synchronization of Liu System successfully with simple linear feedback. Thentwo kinds of state observer synchronization approaches are proposed to the Liu systemswith disturbance or non-disturbance. And then an adaptive synchronization approache isproposed to the Liu systems with unknown parameters. Finally backsteppingsynchronization method is put forward to Liu system with uncertain parameters.(2) The structure Characteristics of the new-proposed Qi chaotic system are analyzed,and two kinds of linear feedback synchronization are presented. After analyzing thestructure characteristics of the new Qi chaotic system, synchronization methods of Qisystem such as the single variable drive synchronization method and two kinds of linearfeedback synchronization methods are presented. Then an adaptive synchronizationapproache is proposed to the Qi systems with unknown parameters.(3) Study for chaotic synchronization with diverse structures. Based on the theory oftracking control, a tracking synchronization approache is put forward to synchrize Liusystem and unified chaotic system. Then a modified adaptive synchronization method ofQi system and unified chaotic system is presented. Then the two differentsynchronization approaches are extended to hyperchaotic systems. |
PDF Full Text Request