延迟耦合三节点VCSEL网络的全局性完全混沌同步判定

对于不同的三节点垂直腔面发射激光器(VCSEL)网络,利用主稳态函数(MSF)提出了一个新的所有节点激光器之间达到全局完全混沌同步(GCCS)的判定方法。发现当由常行和与两个横断特征值所确定的两点在稳定性区域内(MLE为负),并且MLE作为常行和以及特征值(与同步流形内的扰动有关)的函数是正的,那么这个任意给定的三节点VCSEL网络能够达到GCCS。该判定方法可以推广到多节点(四节点以上)VCSEL网络中。基于理论判定和同步误差理论,进一步探索了具有环形拓扑结构的三节点VCSEL网络的同步性质。结果显示,理论判定和数值结果完全吻合,这表明理论判定是有效可行的。

双信道偏振复用保密通信系统的完全混沌同步的操控性研究

针对双信道偏振复用保密通信系统,利用线性电光效应,提出了一种新的完全混沌同步的控制方案.在该方案中,每一个线性偏振模的完全混沌同步质量随外加电场成准周期性变化.其变化规律:完全混沌同步?剧烈振荡;固定一定的外加电场,电光调制促使其完全混沌同步质量对偏置电流和反馈强度的稳健性获得极大的加强.在较大的偏置电流和反馈强度范围内,每一个线性偏振模能够实现完全混沌同步,并且调制到每一个线性偏振模的加密信号基本上能够恢复.

基于光反馈的单向耦合注入垂直腔表面发射激光器的矢量混沌同步特性研究

基于自旋反向模型(SFM),数值研究了基于光反馈的单向耦合注入垂直腔表面发射激光器的矢量混沌同步特性,研究结果表明:当外部光反馈时间等于光从发射系统到接收系统传输时间时,^x偏振模和^y偏振模都能接收最好的完全混沌同步质量.若外部光反馈时间不等于传输时间且注入电流接近阈值电流时,占主导的^y偏振模能暂时实现较好的完全混沌同步质量.相比较而言,占主导地位的^x偏振模至始至终获得很差的同步质量,另外,当系统输出为混合偏振模时,混合偏振模中的每一个线性偏振模获得很差完全同步质量.然而,当注入电流远大于阈值电流时,系统输出仅为^y偏振模,这时^y偏振模能稳定地实现最好的完全混沌同步质量.最后,当接收激光器受到线性偏振模的强注入时,每一个注入线性偏振模能与接收激光器输出的对应的线性偏振模实现很好的注入锁定同步.然而,每一个占主导的线性偏振模比另一被抑制的线性偏振模获得更差注入锁定同步质量、如果有相等的能量的两个线性偏振模同时存在,这两个线性偏振模获得差不多一致的注入锁定混同步质量,换句话说,能量较少的线性偏振能获得较高的注入锁定同步质量.

A Criterion for Stability of Synchronization and Application to Coupled Chua's Systems

We investigate synchronization in an array network of nearest-neighbor coupled chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua＇s circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.

Discrete-Time Chaotic Systems Synchronization Based on Vector Norms Approach

Suitable stabilization conditions obtained for continuous chaotic systems are generalized to discrete-time chaotic systems. The proposed approach, leading to these conditions for complete synchronization is based on the use of state feedback and aggregation techniques for stability studies associated with the arrow form matrix for system description. The results are successfully applied for two identical discrete-time hyper chaotic Henon maps with different orders and also for non-identical discrete-time chaotic systems with same order namely the Lozi and the Ushio maps.