【作者】 岳立娟；

【导师】 沈柯；

【作者基本信息】 长春理工大学 ， 光学， 2005， 博士

【摘要】 本文使用耦合映象格子模型研究声光双稳态和相位共轭波时空混沌的控制与同步，并对其在保密通信中的应用进行了实验研究，同时对其时空复杂行为进行了有益的探讨。全文的研究分为三大部分：时空动力学系统复杂行为的演化、时空混沌的控制、时空混沌的同步与应用。 第一部分讨论时空动力学系统复杂行为的演化。概述混沌控制与同步方法的研究进展；介绍耦合单峰映象格子模型、耦合声光双稳映象格子模型及耦合相位共轭波映象格子模型中时空混沌的控制与同步的研究进展。 第二部分使用耦合映象格子模型研究时空混沌的控制。首先，提出一种时空混沌的非线性反馈控制方法，对耦合单峰映象格子模型、耦合声光双稳态映象格子模型及耦合相位共轭波映象格子模型中的时空混沌进行控制，通过选取不同的反馈强度，获得了各种稳定的控制结果，此控制方法的优点是不需要预先知道系统的动力学信息，而且控制效果好。然后，利用常数偏移控制法和改进的常数偏移控制法。对一维耦合声光双稳映象格子模型的时空混沌进行控制，只需调整偏移强度，即可得到各种稳定的状态。此控制方法的优点是不需要系统的动力学信息，系统的维数和参数均不改变，实验中容易实现。最后，采用三种不同的反馈技术进行控制，成功地将一维耦合声光双稳态映象格子模型中的时空混沌控制到均匀的稳态或稳定的周期态。 第三部分使用耦合映象格子模型研究时空混沌的同步与应用。首先，提出一种非线性反馈同步时空混沌的方法。将此方法分别应用到耦合声光双稳态映象格子模型和耦合相位共轭波映象格子模型，在系统参数一定时，通过计算最大条件李雅普诺夫指数，给出实现时空混沌同步的最小反馈强度。将此方法进行拓展，实现了耦合环形腔激光器映象格子模型与耦合声光双稳态映象格子模型时空混沌的广义同步，通过数值实验表明，此非线性反馈时空混沌的同步方法具有实用性和鲁棒性。其次，利用单向耦合驱动时空混沌同步方法，分别实现耦合声光双稳态映象格子模型和耦合相位共轭波映象格子模型中时空混沌的同步，给出此方法实现时空混沌同步的最小耦合强度及最小耦合强度与系统控制参数的关系，讨论了在噪声影响下，此方法的同步效果。另更多还原

【Abstract】 The dissertation mainly investigates the control and the synchronization of spatiotemporal chaos (STC) in acousto-optic bistable systems and phase conjugation resonators by using coupled map lattices (CML) models. The application in secure communication and the spatiotemporal complex behaviors of the models are helpfully discussed. The research work can be classified into three parts: evolution of the spatiotemporal dynamical behavior, control of STC, synchronization of STC and its application.In part one, the evolution of the spatiotemporal dynamical behavior is introduced, and the research development of chaos control and synchronization is summarized. The recent achievements of control and synchronization of STC are described on coupled logistic map lattices (CLML) models, coupled acousto-optic bistable map lattices (CAOBML) models and coupled phase conjugation waves map lattices (CPCWML) models.In part two, the control of STC is investigated by using CML models. The nonlinear feedback method of controlling STC is put forward. The controls of STC are realized by the nonlinear feedback method in CLML, CAOBML and CPCWML. The various stable control results of STC are obtained by varying the feedback strength. It is the best advantage that the method does not require a priori information of system dynamics, and the control can be achieved easily. After that, the STC can be suppressed in CAOBML model with the constant bias and the improved constants bias techniques. The different periodic states are achieved by choosing appropriate bias strength. These methods possess further advantages, since no updated information of the system dynamics is required, and the dimension of the system does not increase, and the system parameters are not changed and the control is easy implemented in experiment. Finally, three different feedback control techniques are proposed, and the STC in CAOBML model can be successfully controlled to the stable states.In part three, the synchronization of STC and its application are studied. Firstly, the method of nonlinear feedback synchronization of STC is first put forward. The minimum更多还原