非线性反馈法控制相位共轭波的光学时空混沌

相位共轭振荡器由一个标准镜和一个具有快速响应的无损耗Kerr介质作为相位共轭介质的相位共轭镜组成.利用非线性反馈方法，对相位共轭振荡器中的时间混沌和耦合相位共轭波映象系统中的时空混沌进行了控制，得到了稳定的控制结果.数值实验表明，该控制方法不需预先了解动力学系统，只需调整反馈系数，在实际系统中容易实现.控制结果为相位共轭波的混沌研究提供了理论依据. 关键词： 非线性反馈控制 相位共轭振荡器 混沌 时空混沌     

Complete synchronization of double-delayed R"ossler systems with uncertain parameters

In this paper, we investigate complete synchronization of double-delayed R"ossler systems with uncertain parameters as the master system is in chaotic synchronization. The uncertain parameters can be nonlinearly expressed in the system. The analysis and proof are given by means of the Lyapunov stability theorem. Based on theoretical analysis, some sufficient conditions of complete synchronization are proved. In order to validate the proposed scheme, numerical simulations are performed and the numerical results show that our scheme is very effective.     

Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback

In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally chaotic system as well as a spatiotemporally chaotic system. It can be extended to synchronize the spatiotemporal chaos. It can work in a wide range of the controlled and synchronized signals, so it can decrease the sensitivity down to a noise level. The synchronization can be obtained by the analysis of the largest conditional Lyapunov exponent spectrum, and easily implemented in practical systems just by adjusting the coupled strength without any pre-knowledge of the dynamic system required.     

Optical patterns in spatially coupled phase-conjugate systems

Various pattern evolutions are presented in one-and two-dimensional spatially coupled phase-conjugate systems (SCPCSs).As the system parameters change,different patterns are obtained from the period-doubling of kink-antikinks in space to the spatiotemporal chaos in a one-dimensional SCPCS.The homogeneous symmetric states induce symmetry breaking from the four corners and the boundaries,finally leading to spatiotemporal chaos with the increase of the iteration time in a two-dimensional SCPCS.Numerical simulations are very helpful for understanding the complex optical phenomena.     

异构二维延迟系统的广义混沌同步

基于泛函微分方程稳定性理论,利用广义混沌同步辅助分析方法,对两个异构二维延迟系统实现了广义混沌同步.与其他广义同步方法相比较,我们所使用的方法更为简便,理论分析和数值模拟证明了设计方案的有效性.     

布拉格声光双稳系统时空混沌的单向耦合同步

使用非线性动力学中的一维和二维耦合格子模型研究两个声光双稳系统的时空混沌同步.将驱动系统的输出以适当的比例耦合到响应系统并进行均衡, 能实现两系统的时空混沌同步.利用计算最大条件Lyapunov指数, 给出达到同步所需的最小耦合强度与系统参数的关系. 数值实验表明,在小噪声影响时仍然可以实现两系统的同步, 此法具有一定的抗干扰能力. 关键词： 单向耦合同步 时空混沌 布拉格声光双稳系统     

Complete synchronization of double-delayed Rssler systems with uncertain parameters

In this paper,we investigate complete synchronization of double-delayed Rssler systems with uncertain parameters as the master system is in chaotic synchronization.The uncertain parameters can be nonlinearly expressed in the system.The analysis and proof are given by means of the Lyapunov stability theorem.Based on theoretical analysis,some sufficient conditions of complete synchronization are proved.In order to validate the proposed scheme,numerical simulations are performed and the numerical results show that our scheme is very effective.