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R?ssler混沌系统的脉冲同步   总被引:5,自引:0,他引:5       下载免费PDF全文
刘 锋  穆肇骊  邱祖廉 《物理学报》1999,48(7):1198-1203
对R?ssler混沌系统给出了脉冲同步的方法.该方法基于脉冲微分方程理论,根据同步误差进行线性反馈,对系统施加脉冲作用,改变其状态变量,使两个系统同步.同时给出了一个同步的渐近稳定性条件,并进行数值仿真验证了该方法的正确性和抗噪声能力.  相似文献
2.
Adaptive synchronization of Rossler and Cheng chaotic systems   总被引:3,自引:0,他引:3  
李智  韩崇昭 《中国物理》2002,11(7):666-669
A novel adaptive synchronization method is proposed for two identical Rossler and Chen systems with uncertain parameters.Based on Lyapunov stability theory,we derivce and adaptive controller without the knowledge of the systemparameters,which can make the states of two inentical Rossler and Chen systems globally asymptotically synchronized.Especially,when some unknown uncertain parameters are positive,we can make the controller more simple and,besides,the controller is independent of those positive uncertain parameters.All results are proved using a well-known Lyapunov stability theorem.Numerical simulations are given to validate the proposed synchronization approach.  相似文献
3.
周期扰动位相对化学振荡的调制效应   总被引:2,自引:0,他引:2       下载免费PDF全文
吕翎  李钢 《化学物理学报》2003,16(3):193-196
由Rossler反应系统的理论模型出发 ,构造一种具有外部周期扰动的新动力学系统 ,并采用逆算符法和数值分析法研究该系统的振荡态在周期扰动调制下的动力学行为 .结果表明 ,在周期扰动的调制下 ,系统的状态由单周期振荡态 ( 1p)变为周期 2 ( 2p)、周期 4( 4p)等多周期振荡态以及混沌态 .扰动位相是系统呈现上述多种演化模式的控制参数 ,在扰动位相不同的数值区间 ,系统呈现的演化模式不同 ,而且扰动位相数值的微小改变 ,还影响每种演化模式的内部结构  相似文献
4.
单模激光Lorenz系统反同步控制研究   总被引:1,自引:1,他引:0       下载免费PDF全文
栾玲 《应用光学》2008,29(3):428-432
提出了一种实现异结构混沌系统反同步控制的方法。根据Lyapunov 稳定性理论给出控制器的结构。以单模激光Lorenz系统和Rossler系统为例,验证了这种控制器的有效性。进一步研究了不确定混沌系统的反同步,并以不确定单模激光Lorenz系统和Rossler系统为例,实现了混沌反同步控制,同时系统中不确定参数得到识别。仿真模拟结果验证了这种方法的有效性。设计的反同步控制方法可用于任意混沌系统,具有一定的普适性。  相似文献
5.
Based on the minimal braid assumption, three-dimensionai periodic flows of a dynamical system are reconstructed in the case of unimodai map, and their topologicai structures are compared with those of the periodic orbits of the R6ssler system in phase space through the numerical experiment. The numerical results justify the validity of the minimai braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincare section to the knots of three-dimensionai periodic flows.  相似文献
6.
通过对超混沌系统线性项与非线性项的适当分离配置,构造一个特殊的非线性耦合函数作为单元之间的耦合函数,提出非线性非对称耦合混沌同步方法,研究超混沌Rossler系统单元按照星形连接形式组成网络的同步问题.发现耦合强度在某一区域里存在着稳定的混沌同步现象.分析并讨论了不同参数在耦合过程中对混沌同步过程及其稳定性的影响.数值模拟结果证实该方法的有效性.  相似文献
7.
郑永爱 《中国物理》2006,15(11):2549-2552
In this paper, an approach to the control of continuous-time chaotic systems is proposed using the Takagi-Sugeno (TS) fuzzy model and adaptive adjustment. Sufficient conditions are derived to guarantee chaos control from Lyapunov stability theory. The proposed approach offers a systematic design procedure for stabilizing a large class of chaotic systems in the literature about chaos research. The simulation results on Rossler's system verify the effectiveness of the proposed methods.  相似文献
8.
李阳  廖晓峰  李传东  陈 果 《中国物理》2006,15(12):2890-2893
This paper reports that an impulsive control theory for synchronization of nonlinear R?ssler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation results demonstrate the effectiveness of the method.  相似文献
9.
The synchronisation of spiral patterns in a drive-response R6ssler system is studied. The existence of three types of synchronisation is revealed by inspecting the coupling parameter space. Two transient stages of phase synchronisation and partial synchronisation are observed in a comparatively weak feedback coupling parameter regime, whilst complete synchronisation of spirals is found with strong negative couplings. Detailed observations of the synchronous process, such as oscillatory frequencies, parameters mismatches and amplitude variations, etc, are investigated via numerical simulations.  相似文献
10.
In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time.  相似文献
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