共查询到19条相似文献,搜索用时 453 毫秒
1.
2.
对于一类同时存在扩散耦合和梯度耦合的非线性振子系统, 通过空间傅里叶变换,得到具有不同波矢的各运动模式的相互独立的运动方程. 计算各横截模的Lyapunov指数, 可在耦合参数平面上确定同步混沌的稳定区域. 在稳定区域边界, 一对共轭横截模式失稳,导致同步混沌的Hopf分岔. 对耦合Lorenz振子系统进行了数值模拟,并设计了耦合Lorenz振子系统的电路, 进行耦合振子系统同步混沌Hopf分岔的电路仿真实验. 计算和仿真的结果表明,Hopf分岔的特征频率等于失稳横截模式的振荡频率.
关键词:
耦合非线性振子
同步混沌
横截模式
电路仿真 相似文献
3.
以环形耦合Duffing振子系统为研究对象,分析了耦合振子间的同步演化过程.发现在弱耦合条件下,如果所有振子受到同一周期策动力的驱动,那么系统在经历倍周期分岔、混沌态、大尺度周期态的相变时,各振子的运动轨迹之间将出现由同步到不同步再到同步的两次突变现象.利用其中任何一次同步突变现象可以实现系统相变的快速判别,并由此补充了利用倍周期分岔与混沌态的这一相变对微弱周期信号进行检测的方法.
关键词:
Duffing振子
同步突变
相变
微弱信号检测 相似文献
4.
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
5.
选用混沌自催化反应作为子系统 ,构造了耦合自催化反应系统 ,研究了耦合变量、耦合系数对混沌动力学行为的影响 ,给出了不同耦合系数下系统的动力学特征 ,探讨了耦合作用机制 .结果表明 ,耦合作用能明显地改变子系统的动力学行为 ,强化系统间的相关性 .耦合后的混沌运动受到调整与抑制 ,耦合强度加大时 ,呈现出混沌运动轨线的周期化 ,耦合系数大于临界值 ,两子系统实现了完全的同步 .不同变量的耦合时 ,影响最大的是第二种变量 .对于三种物质均有耦合时 ,更容易出现混沌的抑制、运动状态的锁相与周期化和混沌的完全同步 . 相似文献
6.
7.
8.
研究两个对称非线性耦合混沌系统的同步问题.通过对系统线性项与非线性项的适当分离, 构造一个特殊的非线性耦合项,发现在耦合强度α=05附近的某一区域里存在稳定的 混沌同步现象.提供判断同步误差稳定性的方程,利用线性系统的稳定性分析准则和条件Lya punov指数来检验同步状态的稳定性.新方法适用于连续时间系统的混沌同步,也适用于具有 两个(或多于两个)正Lyapunov指数的超混沌系统.以Lorenz系统,超混沌Rssler 系统作 为算例,数值模拟结果证实所提新方法的有效性.
关键词:
混沌
同步
非线性耦合
稳定性准则
超混沌 相似文献
9.
10.
11.
12.
Clustering and synchronization in an array of repulsively coupled phase oscillators are numerically investigated. It is found that oscillators are divided into several clusters according to the symmetry in the structure.Synchronization occurs between oscillators in each cluster, while those oscillators belonging to different clusters remain asynchronous. Such synchronization may collapse for all clusters when the dynamics of only one oscillator is altered properly. The synchronous state may return back after a short period of transient process. This is determined by the strength of the oscillator altered. Its application in the communication of one-to-several is suggested. 相似文献
13.
Clustering and synchronization in an array of repulsively coupled
phase oscillators are numerically investigated. It is found that
oscillators are divided into several clusters according to the
symmetry in the structure. Synchronization occurs between
oscillators in each cluster, while those oscillators belonging to
different clusters remain asynchronous. Such synchronization may
collapse for all clusters when the dynamics of only one oscillator
is altered properly. The synchronous state may return back after a
short period of transient process. This is determined by the
strength of the oscillator altered. Its application in the
communication of one-to-several is suggested. 相似文献
14.
Outer synchronization between two different fractional-order general complex dynamical networks 下载免费PDF全文
Outer synchronization between two different fractional-order general complex dynamical networks is investigated in this paper.Based on the stability theory of the fractional-order system,the sufficient criteria for outer synchronization are derived analytically by applying the nonlinear control and the bidirectional coupling methods.The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks.Neither a symmetric nor irreducible coupling configuration matrix is required.In addition,no constraint is imposed on the inner-coupling matrix.Numerical examples are also provided to demonstrate the validity of the presented synchronization scheme.Numeric evidence shows that both the feedback strength k and the fractional order α can be chosen appropriately to adjust the synchronization effect effectively. 相似文献
15.
A linear array of N mutually coupled single-mode lasers is investigated. It is shown that the intensities of N lasers are chaotically synchronized when the coupling between lasers is
relatively strong. The chaotic synchronization of intensities
depends on the location of the lasers in the array. The chaotic
synchronization appears between two outmost lasers, the second
two outmost lasers, etc. There is no synchronization between
nearest neighbors of the lasers. If the number of N is odd, the
middle laser is never synchronized between any lasers. The chaotic
synchronization of phases between nearest lasers in the array is
examined by using the analytic signal and the Gaussian filter
methods based on the peak of the power spectrum of the intensity.
It can be seen that the message of chaotic intensity
synchronization is conveyed through the phase synchronization. 相似文献
16.
17.
By choosing a dynamical system with d different couplings, one can rearrange a system based on the graph with a given vertex dependent on the dynamical system
elements. The relation between the dynamical elements (coupling) is replaced by a relation between the vertexes. Based on
the E
0 transverse projection operator, we addressed synchronization problem of an array of the linearly coupled map lattices of
identical discrete time systems. The synchronization rate is determined by the second largest eigenvalue of the transition
probability matrix. Algebraic properties of the Bose-Mesner algebra with an associated scheme with definite spectrum has been
used in order to study the stability of the coupled map lattice. Associated schemes play a key role and may lead to analytical
methods in studying the stability of the dynamical systems. The relation between the coupling parameters and the chaotic region
is presented. It is shown that the feasible region is analytically determined by the number of couplings (i.e. by increasing
the number of coupled maps, the feasible region is restricted). It is very easy to apply our criteria to the system being
studied and they encompass a wide range of coupling schemes including most of the popularly used ones in the literature.
相似文献
18.
《Physics letters. A》2020,384(35):126881
Recently, the explosive synchronization (ES) has attracted great interests. Motivated by the recent dynamic framework of complex network, we focus on the network of mobile oscillators and study synchronization phenomenon. The local synchronous order parameter of the neighbors of the oscillator is used as the controllable variable to adjust the coupling strength of the oscillator. Hence, it can be seen as a kind of adaptive strategy. By numerical simulation, we find that ES can be observed in the dynamic network of mobile oscillators, accompanying with hysteresis loop, as the coupling strength increases gradually. It is found that the critical value of coupling strength and hysteresis loop width is affected by the natural frequency distribution and the number of neighbors the oscillator owning. It can be deduced that ES will be motivated by increasing the number of oscillators in the network. Meanwhile, our results are feasible to different natural frequency distributions, such as Lorentzian, Gaussian power-law, and Rayleigh distribution, whether it is symmetric or not. 相似文献
19.
利用N个Fitzhugh-Nagumo模型作为网络节点,通过非线性耦合构成完全网络,研究了这种网络的时空混沌同步问题.首先给出了复杂网络中连接节点之间的非线性耦合函数的一般性选取原则.进一步基于Lyapunov稳定性定理,理论分析了实现网络同步的条件以及控制增益的取值范围.最后,通过仿真模拟检验了以Fitzhugh-Nagumo模型作为网络节点所构成的完全网络的时空混沌同步效果.仿真结果表明,这种完全网络不但同步快速有效,而且网络规模的大小对网络同步稳定性的影响不敏感.
关键词:
同步
复杂网络
时空混沌
非线性耦合 相似文献