共查询到18条相似文献,搜索用时 171 毫秒
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单向耦合驱动同步法可实现耦合环形腔激光器映象格子模型与耦合声光双稳态映象格子模型时空混沌的广义同步.数值实验表明最大条件李雅普诺夫指数为负,可以实现时空混沌广义同步,给出了实现同步的最小耦合强度,利用辅助分析法证明了异构系统的广义同步. 相似文献
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预测反馈控制方法可以用于控制时空混沌系统,该方法是在耦合映象格子中的每个格点处加入局部预测反馈控制器.本文以双向环形Henon耦合映象格子为例,在理论上给出了将系统控制到不稳定不动点的充分条件,并通过数值计算及电路仿真实验证实该方法的有效性. 相似文献
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提出了一种实现加权网络时空混沌投影同步的方法.通过构造合适的Lyapunov函数,确定了加权网络中连接节点之间耦合函数的结构以及网络节点状态方程中分离配置的线性项的系数矩阵的取值范围.以Bragg声光双稳系统作为局域函数,单向耦合映像格子作为空间扩展系统构成激光时空混沌模型.通过仿真模拟检验了采用激光时空混沌模型作为网络节点的加权网络的投影同步效果.结果显示,对于任意的节点之间耦合强度的权重值,加权网络的投影同步均可以实现.
关键词:
投影同步
加权网络
时空混沌
Bragg声光双稳系统 相似文献
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Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback 总被引:3,自引:0,他引:3
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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. 相似文献
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We demonstrate that chaos can be controlled using multiplicative exponential feedback control. Unstable fixed points, unstable
limit cycles and unstable chaotic trajectories can all be stabilized using such control which is effective both for maps and
flows. The control is of particular significance for systems with several degrees of freedom, as knowledge of only one variable
on the desired unstable orbit is sufficient to settle the system onto that orbit. We find in all cases that the transient
time is a decreasing function of the stiffness of control. But increasing the stiffness beyond an optimum value can increase
the transient time. We have also used such a mechanism to control spatiotemporal chaos is a well-known coupled map lattice
model. 相似文献
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研究了一个时间混沌系统驱动多个时空混沌系统的并行同步问题.以单模激光Lorenz系统和一维耦合映像格子为例,在单模激光Lorenz系统中提取一个混沌序列,通过与一维耦合映像格子中的状态变量耦合使单模激光Lorenz系统和多个同结构一维耦合映像格子同时达到广义同步,并且多个一维耦合映像格子之间实现完全并行同步.通过计算条件Lyapunov指数,可以得到并行同步所需反馈系数的取值范围.数值模拟证明了此方法的可行性和有效性. 相似文献
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We considered coupled map lattices with long-range interactions to study the spatiotemporal behaviour of spatially extended
dynamical systems. Coupled map lattices have been intensively investigated as models to understand many spatiotemporal phenomena
observed in extended system, and consequently spatiotemporal chaos. We used the complex order parameter to quantify chaos
synchronization for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice
in a power-law fashion. Depending on the range of the interactions, complete chaos synchronization and chaos suppression may
be attained. Furthermore, we also calculated the Lyapunov dimension and the transversal distance to the synchronization manifold. 相似文献
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由于子系统的时空耦合作用,实现耦合时空混沌的跟踪控制比较困难。然而模型未知的耦合时空混沌的子系统可由一系列模糊逻辑模型逼近,每个模糊逻辑模型代表子系统在特定运行点的局部线性化模型。基于该系列模糊模型,采用模糊跟踪控制方法实现了耦合时空混沌的模型参考跟踪控制,并用线性矩阵不等式的凸优化方法求解控制器参数,确保系统的全局渐近稳定性。仿真验证了方案的有效性。 相似文献
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We investigate coupled circle maps in the presence of feedback and explore various dynamical phases observed in this system of coupled high dimensional maps. We observe an interesting transition from localized chaos to spatiotemporal chaos. We study this transition as a dynamic phase transition. We observe that persistence acts as an excellent quantifier to describe this transition. Taking the location of the fixed point of circle map (which does not change with feedback) as a reference point, we compute a number of sites which have been greater than (less than) the fixed point until time t. Though local dynamics is high dimensional in this case, this definition of persistence which tracks a single variable is an excellent quantifier for this transition. In most cases, we also obtain a well defined persistence exponent at the critical point and observe conventional scaling as seen in second order phase transitions. This indicates that persistence could work as a good order parameter for transitions from fully or partially arrested phase. We also give an explanation of gaps in eigenvalue spectrum of the Jacobian of localized state. 相似文献
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《Physics letters. A》2006,357(3):209-212
Suppression of localized spatiotemporal chaos observed in one-dimensional coupled map lattice system is achieved using feedback control [P. Parmananda, Yu. Jiang, Phys. Lett. A 231 (1997) 159; P. Parmananda, M. Hildebrand, M. Eiswirth, Phys. Rev. E 56 (1997) 239]. The control is successful both for the frozen random pattern and defect chaotic diffusion pattern. This Letter introduces a new improved feedback control method. To compare with other methods of feedback control, this method can achieve stable state with less iteration steps and more simple calculation process. We prove the stability of the controlled result by calculating maximal Lyapunov exponent. And we also find that this method is robust to small disturbance. 相似文献