【作者】 王作雷；

【导师】 毕勤胜；

【作者基本信息】 江苏大学 ， 固体力学， 2008， 博士

【摘要】 本文运用现代非线性分析方法,探讨了一类半导体激光系统的复杂动力学行为,分析了不同物理参数、初始条件等因素对系统及其耦合状态下的动力学行为的影响,并对这两种激光器的混沌控制和同步问题进行了初步探讨。全文主要内容包括以下五个方面的工作:在第一章,主要介绍了混沌激光系统的研究背景、现状和本文的研究内容。第二章分析了光注入半导体激光方程的复杂动力学行为;得到了系统的参数转迁集,分析了系统随着参数变化从平衡态进入混沌的过程。分别考察了原系统处于平衡态、周期-1和混沌吸引子时系统随延迟反馈系数变化所表现的动力学行为。第三章讨论了光注入半导体激光系统的完全同步问题;给出了参数已知或未知时两个完全相同的光注入激光系统的同步方案;讨论了两个完全相同的光注入半导体激光系统的输出控制在所需输出强度上的方案;讨论了不同激光系统之间以及不同维数的混沌系统之间的异结构延迟同步问题;并给出了数值模拟验证。第四章分别讨论了具有线性增益和非线性增益时光反馈半导体激光系统的动力学行为。分析发现,对于不同的反馈强度ECM经Hopf分岔之后进入混沌方式不尽相同,可以通过3-D环面破裂,也可以是倍周期分岔;在一定条件下,不同频率的两个稳定的ECM共存,其中之一会在另一个ECM失稳并进入混沌的过程中一直保持稳定,且由混沌危机连接这两种动力学行为。特别地,随着非线性增益系数的变化,激光器会呈现出明显的快慢效应。第五章分别讨论了线性和非线性增益下耦合光反馈激光系统的复杂动力学行为,与单个系统相比,耦合系统的现象更为复杂,这一方面表现为不同的周期吸引子共存现象。另一方面,系统的演化方式主要是由CLM产生Hopf分岔进入极限环,然后由概周期失稳进入混沌。同时我们观察到不同周期进入概周期振荡的途径及混沌危机现象。第六章讨论了光反馈半导体激光系统的完全同步问题,实现了不同初始条件下光反馈半导体激光系统的完全同步;给出了整个系统的输出控制于某一定值的方案;给出了不同激光系统之间以及不同维数混沌系统之间的异结构同步方案,并对所有理论结果进行了数值模拟验证。第七章对研究内容的总结和展望。更多还原

【Abstract】 For the semiconductor lasers or coupled systems, when parameters and the initial conditions changed, the complex mechanism is investigated by applying the modern nonlinear analytical methods, and the chaotic control and chaotic synchronization are explored. The main research work of this article has five parts as follows:In the first section, the development history of the chaotic laser is sum up. The ratios equations of the semiconductor lasers. The content of research of this paper is given.The complex dynamics behaviors of the semiconductor lasers with optical injection are investigated in chapter 2. Based on the bifurcation theory, the stabilities of the equilibrium points are explored, the transition boundary is plotted and the evolution of the dynamics from the equilibrium point to chaos is investigated in detail. Finally, the plentiful dynamics behavior is investigated with the change of the feedback coefficient when initial system is in the state of equilibrium, circle-1 and chaotic attractor respectively.In Chapter 3, complete synchronization of the semiconductor lasers with optical injection is discussed. The synchronization scheme of two complete identical laser systems are put forward when parameters are known or unknown. Then the delay synchronization of different structures is investigated and the scheme of whole system about the output intensity which the outputs control needs, when the complete identical semiconductor lasers with optical injection are given different initial values. Finally, the delay synchronization of different laser systems and different chaos different with different dimensions is investigated and the results are verified by numerical simulation.Dynamics behaviors of the semiconductor laser with optical feedback which has linear gain and nonlinear gain in Chapter 4. To different feedback intensity, although Hopf bifurcation is the main reason which leads to unstable ECM solution, the behavior after Hopf bifurcation, especially their different way entering chaos, can rupture by 3-D torus, as well as leads to double period bifurcation. In some condition, two stable ECM coexist with different frequency. Not only one of them can keep stable when the other ECM is unstable and go into chaos but also the two dynamics behaviors is linked by chaos crisis, and the size of chaos structure on phase space can change suddenly. Particularly, semiconductor lasers will present obvious fast-slow effect with the change of nonlinear gain coefficient.Complex dynamics behaviors of the laser system with coupling optical feedback which has linear or nonlinear gain in Chapter 5. Compared with single system, phenomenon of coupling system is more Complex, which mainly displays in the coexistence phenomenon of different periodic attra(?)tors. The evolution way of system is mainly shown as CLM solution enters limit ring by Hopf bifurcation, and then directly into quasi-period through periodic oscillation, finally, into chaos by unstable quasi-period. At the same time, we can observe the way through which different periods enter quasi-period oscillation.In Chapter 6, complete synchronization of the time delay semiconductor lasers with optical feedback is investigated and the scheme to completely synchronize for two coupling laser system is given. Then, the scheme about output of the whole system is controlled by certain value is investigated. Finally, diverse structure synchronization of different laser systems and chaos systems with different dimensions. Furthermore, all the theoretical results are verified by numerical simulation.In chapter 7, the summary and expectation are given.更多还原