Control And Synchronization Of Hyperchaos In Degenerate Optical Parametric Oscillator

The dissertation mainly study the controlling and synchronization of hypechaos in the degenerate optical parametric oscillator(DOPO) by mutual coupling parameter modulation and delay feedback methods.Firstly, we analysed the nonlinear dynamics in the DOPO and its' stability. And we also get the parameter conditions of chaostic or hypechaos states in DOPO by investigating the chaos from the bifurcation diagram, Lyapunov index and other aspects.Secondly, based on the theory of the controlling of chaos, the two methods mentioned above are used to control the hypechaos in the DOPO, and we can control the DOPO system of hypechaos into different period states successfully, then we deeply research the periodic synchronization in the DOPO. And gives a detailed research and process.