共查询到18条相似文献,搜索用时 125 毫秒
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采用扩阶方法(使响应系统和驱动系统的维数相同),把不同阶数混沌系统的广义同步问题转化为相同阶数混沌系统之间的广义同步,基于Lyapunov稳定性定理和自适应控制方法(用于相同阶数混沌系统的同步),给出了自适应控制器和参数自适应律,进而实现了不同阶数混沌系统的广义同步.将该方法应用于参数未知的超Lü,Lorenz,广义Lorenz和Liu等系统之间的广义混沌同步,理论证明了该方法可以使这些系统达到渐近广义同步,并且可以辨识驱动系统和响应系统的所有参数,数值模拟进一步证明了该方法的有效性. 相似文献
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以单向驱动耦合Lorenz振子一维链为研究对象,研究振子间的混沌同步行为. 数值计算结果表明,对于变量y驱动x的耦合方式,在合适的耦合强度下,会出现第一个振子和第二个振子不同步,而与次近邻非直接连接的振子(如第三个振子)近似同步. 进一步研究表明,出现这一现象的原因是在大耦合强度下,对于这种驱动方式,第一个振子和第二个振子间出现驱动单变量近似同步;虽然它们之间未出现所有变量的完全同步,但是驱动信号事实上已经传递下去了.
关键词:
Lorenz振子
混沌同步
近似同步 相似文献
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提出用改进的状态观测器研究混沌广义同步问题.采用解析法求得了混沌广义同步的响应系统.从状态观测器理论,得到驱动和响应系统全局渐进线性广义同步的充分条件.以超混沌R?ssler系统为例,数值研究了该同步方法.结果表明了它的有效性.
关键词:
混沌
广义同步
状态观测器
R?ssler系统 相似文献
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We report a method of engineering generalized synchronization (GS) in chaotic oscillators using an open-plus-closed-loop coupling strategy. The coupling is defined in terms of a transformation matrix that maps a chaotic driver onto a response oscillator where the elements of the matrix can be arbitrarily chosen, and thereby allows a precise control of the GS state. We elaborate the scheme with several examples of transformation matrices. The elements of the transformation matrix are chosen as constants, time varying function, state variables of the driver, and state variables of another chaotic oscillator. Numerical results of GS in mismatched Ro?ssler oscillators as well as nonidentical oscillators such as Ro?ssler and Chen oscillators are presented. 相似文献
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从构造驱动系统和响应系统之间的函数关系出发,一般性地研究了广义混沌同步中同步流形的多值性问题,并对同步流形的稳定性进行了分析,提出了多稳定同步流形存在的条件.利用该稳定性条件对两个实例进行了分析,一个为Genesio-Rssler耦合系统,另一个为具有二次、三次非线性的耦合Duffing系统,结果表明前者仅有唯一的稳定同步流形,而后者随着耦合强度的增加,从具有两个稳定的同步流形变为只存在一个稳定同步流形.
关键词:
混沌同步
多稳定性
同步流形 相似文献
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Generalized reduced-order synchronization of chaotic system based on fast slide mode 总被引:1,自引:0,他引:1 下载免费PDF全文
A new kind of generalized reduced-order synchronization of different chaotic
systems is proposed in this paper. It is shown that dynamical evolution of
third-order oscillator can be synchronized with the canonical projection of
a fourth-order chaotic system generated through nonsingular states
transformation from a cell neural net chaotic system. In this sense, it is
said that generalized synchronization is achieved in reduced-order. The
synchronization discussed here expands the scope of reduced-order
synchronization studied in relevant literatures. In this way, we can achieve
generalized reduced-order synchronization between many famous chaotic
systems such as the second-order D\"{u}ffing system and the third-order
Lorenz system by designing a fast slide mode controller. Simulation results
are provided to verify the operation of the designed synchronization. 相似文献
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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.
关键词:
线性偏振态
垂直腔表面发射激光器
完全矢量混沌同步
强注入锁定矢量混沌同步 相似文献
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This paper presents a new scheme to achieve generalized synchronization(GS) between different discrete-time chaotic(hyperchaotic) systems.The approach is based on a theorem,which assures that GS is achieved when a structural condition on the considered class of response systems is satisfied.The method presents some useful features:it enables exact GS to be achieved in finite time(i.e.,dead-beat synchronization);it is rigorous,systematic,and straightforward in checking GS;it can be applied to a wide class of chaotic maps.Some examples of GS,including the Grassi-Miller map and a recently introduced minimal 2-D quadratic map,are illustrated. 相似文献
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This paper deals with the chaotic oscillator synchronization. An approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by the coupled chaotic oscillators. It has been shown that complete synchronization, phase synchronization, lag synchronization, and generalized synchronization are the particular cases of the synchronized behavior called "time-scale synchronization." The quantitative measure of chaotic oscillator synchronous behavior has been proposed. This approach has been applied for the coupled R?ssler systems and two coupled Chua's circuits. 相似文献
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A phase model for a population of oscillators with random excitatory and inhibitory mean-field coupling and subject to external white noise random forces is proposed and studied. In the thermodynamic limit different stable phases for the oscillator population may be found: (i) an incoherent state where all possible values of an oscillator phase are equally probable, (ii) a synchronized state where the population has a nonzero collective phase; (iii) a glassy phase where the global synchronization is zero but the oscillators are in phase with the random disorder; and (iv) a mixed phase where the oscillators are partially synchronized and partially in phase with the disorder. These predictions are based upon bifurcation analysis of the reduced equation valid at the thermodynamic limit and confirmed by Brownian simulation. 相似文献