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二阶级联声光双稳模型的动力学研究
Dynamics of Two Order Cascading Acousto-optic Bistable Model
【摘要】 本文构造了二阶级联声光双稳模型,计算了该系统Lyapunov指数的收敛行为,研究了系统的Lyapunov指数谱随各个参数的演化情况,作出了系统的分合图和相空间图.分析结果表明,系统的变量结构对Lyapunov指数谱随参数的演化形式有重要的影响;系统随参数的变化由不动点经倍周期分合直至进入混沌或超混沌.
【Abstract】 A model of two order cascading acousto-optic bistable system is constructed. The convergence behavior of the Lyapunov. exponents is given. Dynamics of the system is investigated by computing the evolution of the Lyapunov exponent spectrum versus various parameters. The bifurcation and the phase space diagrams are plotted. Numerical results show that the structure of the system variables plays an important role in the evolution form of Lyapunov exponent spectrum. Meanwhile, hyperchaos states are found.
【关键词】 二阶级联声光双稳模型;
Lyapunov指数;
超混沌;
【Key words】 two order cascading acousto-optic bistable system; Lyapunov exponent; hyperchaos;
【Key words】 two order cascading acousto-optic bistable system; Lyapunov exponent; hyperchaos;
- 【文献出处】 量子电子学报 ,CHINESE JOURNAL OF QUANTUM ELECTRONICS , 编辑部邮箱 ,1999年05期
- 【分类号】O313
- 【下载频次】26