一种双线延迟反馈系统的相位混沌特性

Phase chaotic characteristics of double delayed feedbacks system

通过计算混沌信号的特征参数,研究了不同参数下法布里-珀罗腔呈现混沌特性时的相位变化,发现其与强度变化一样具有混沌特性。提出了基于此种系统的双线延迟反馈结构,推导了该系统的动力学微分方程,计算其输出相位的lyapunov指数与功率谱,结果表明该系统的相位输出具有混沌特性,同时其维数相比单线延迟反馈系统有明显提高。这说明双线延迟反馈系统继承了原系统的相位混沌特性,并且提高了混沌复杂度,是一种产生高维相位混沌的有效途径。

Phase characteristic of the output signal of nonlinear Fabry-Perot cavity system with single delayed feedback was investi-gated. By calculating key parameters when dynamics characteristic of the output signal intensity was chaos,it was indicated that the output signal phase is in chaotic state too. An improved system structure with double delayed feedbacks was proposed. The differen-tial equation of nonlinear dynamics was deduced. The maximum Lyapunov exponent and power spectrum of phase output was calcu-lated,which indicated that the phase output has chaotic behavior and the correlative dimension is improved distinctly. The results show that the double delayed feedbacks system inherits chaotic characteristics of phase,improves the chaos complexity and is an ef-fective approach for generating multi-dimension chaos.