简并光学参量振荡器的超混沌控制与周期态同步

针对简并光学参量振荡器的非线性动力学特点,应用互耦合参量调制法研究了两台简并光学参量振荡器之间的超混沌控制与周期态同步.理论研究结果表明,对于全同或不完全相同的简并光学参量振荡器均可实现从超混沌输出到周期输出的转化,当满足最大条件Lyapunov指数小于零时,两台全同简并光学参量振荡器之间可以实现两种方式的周期态精确同步,即同向同步和反向同步,同步方式与初始条件和调制系数有关.

Controlling hyperchaos and periodic state synchronization of degenerate optical parametric oscillators

Hyperchaotic control and periodic synchronization between two degenerate optical parametric oscillators are presented by mutual coupling parameter modulation, based on the nonlinear kinetic characteristic of degenerate optical parametric oscillator. Theoretical results show that the two degenerate optical parametric oscillators in hyperchaotic state can be controlled into periodic output by mutual couple, no matter whether the two degenerate optical parametric oscillators are identical. It is also shown that the periodic states can result in identical synchronization or anti-synchronization only in the case where the largest Lyapunov exponent of the system is negative. Thus synchronization type and evolution process of synchronization are determined by modulating coefficient and initial conditions.