摘要
构建了分数阶简并光学参量振荡器系统,利用分数阶系统稳定性理论,得到了分数阶简并光学参量振荡器系统存在混沌现象的必要条件,给出了系统在满足必要条件下的混沌吸引子。实现了分数阶简并光学参量振荡器混沌系统的混沌同步,在同步过程中并未删去响应系统的所有非线性信息,理论分析和数值研究结果的一致性表明了该方法的有效性。
A fractional-order degenerate optical parametric oscillator chaos system is proposed. According to stability theory of fractional-order systems, the necessary condition for the existence of chaotic attractors in this fractional-order degenerate optical parametric oscillator system is obtained. The chaotic attractors are obtained. One synchronization method for the fractional-order degenerate optical parametric oscillator chaos system is established and the mathematical proof of this method is provided. The nonlinear terms in the response system are not dropped. Theoretical analyze and simulation results show that the method in this paper is effective.
出处
《半导体光电》
EI
CAS
CSCD
北大核心
2008年第4期524-527,共4页
Semiconductor Optoelectronics
基金
重庆市教育委员会基金资助项目(KJ071206)
关键词
简并光学参量振荡器
分数阶混沌系统
分数阶系统稳定性理论
混沌同步
degenerate optical parametric Stability theory of fractional-order systems chaos oscillator
fractional-order chaotic systems
synchronization
