The Inverse Proportion Synchronization And Complex Network Synchronization Of Optics Chaos Systems

Chaos theory is "the third revolution" of knowing and changing the world by human in20th century. It is applied widely in many fields and attended comprehensively. The optics chaos is an important branch of chaos. Especially, it is of important theory significant and application foreground for the investigation of the control and the synchronization of optics chaos. The main works in the thesis are outlined as follows:1. The basic concept of chaos is introduced, and the development in the theory of the investigation for the control, synchronization and complex network of optics chaos is summarized.2. In the third part, introduces hyperchaotic LC circuit system, degenerate optical parametric oscillator, intracavity frequency doubled Nd:YAG laser and chaos of optical second harmonic generation these several kinds of typical laser, research the laser chaos characteristics.3. The chaos characteristics and optical properties of the degenerate optical parametric oscillator and the intracavity frequency doubled Nd:YAG laser are analyzed, and the dynamics equations of the intracavity frequency doubled Nd:YAG laser are derived. The inverse proportion synchronization between the degenerate optical parametric oscillator and the intracavity frequency doubled Nd:YAG laser is investigated theoreticaly based on Lyapunov stability principle. The simulation results show that the inverse proportion synchronization of two systems is realized.4. The complex network with diverse structure co-coupling between star and chain structures is designed. Some typical chaos systems from electrics and optics are taken as nodes of the complex network. The synchronization principle of the network is discussed. The simulation result shows that the global synchronization of the complex network is realized. It is proved that the synchronization principle is effectiveness.