Controlling chaos in RCL-shunted Josephson junction by delayed linear feedback

The resistively--capacitively--inductively-shunted (RCL-shunted) Josephson junction (RCLSJJ) shows chaotic behaviour under some parameter conditions. Here a scheme for controlling chaos in the RCLSJJ is presented based on the linear feedback theory. Numerical simulations show that this scheme can be effectively used to control chaotic states in this junction into stable periodic states. Moreover, the different stable period states with different period numbers can be obtained by appropriately adjusting the feedback intensity and delay time without any pre-knowledge of this system required.     

Synchronization of chaos in resistive-capacitive-inductive shunted Josephson junctions

We present a scheme for chaotic synchronization in two resistive- capacitive-inductive shunted Josephson junctions （RCLSJJs） by using another chaotic RCLSJJ as a driving system. Numerical simulations show that whether the two RCLSJJs are chaotic or not before being driven, they can realize chaotic synchronization with a suitable driving intensity, under which the maximum condition Lyapunov exponent （MCLE） is negative. On the other hand, if the driving system is in different periodic states or chaotic states, the two driven RCLSJJs can be controlled into the periodic states with different period numbers or chaotic states but still maintain the synchronization.     

Chaotic behaviours and control of chaos in the p-Ge photoconductor

The chaotic behaviours in the p--Ge photoconductor system are studied by changing the photo-excitation coefficient and the routes and parameter conditions are given for chaos generation in this system. A scheme for controlling chaos in the p--Ge photoconductor is presented by adding an ac bias current. Numerical simulations show that this scheme can be effectively used to control chaotic states into stable period states for this system. Moreover, the different period states with different period numbers can be obtained by appropriately adjusting the amplitude, frequency, and initial phase of the additional ac current.     

Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions

This paper deals with dynamical behaviours in an array composed of two resistive-capacitive-inductive-shunted (RCL-shunted) Josephson junctions (RCLSJJs) and a shunted resistor. Numerical simulations show that periodic, chaotic and hyperchaotic states can coexist in this array. Moreover, a scheme for controlling hyperchaos in this array is presented by adjusting the external bias current. Numerical results confirm that this scheme can be effectively used to control hyperchaotic states in this array into stable periodic states, and different stable periodic states with different period numbers can be obtained by appropriately choosing the intensity of the external bias current.     

延时线性反馈法控制双环掺铒光纤激光器混沌

根据线性反馈法控制混沌的理论及实践成果,提出了延时线性反馈法控制双环掺铒光纤激光器混沌的具体方案.计算机模拟结果表明,适当调节反馈系数和延时时间,可以实现对双环掺铒光纤激光器混沌的稳定控制 关键词： 混沌控制 延时线性反馈 双环掺铒光纤激光器     

Controlling Chaotic Behavior in a Bose-Einstein Condensate with Linear Feedback

The spatial structure of a Bose-Einstein condensate (BEC) loaded into an optical lattice potential is investigated and the spatially chaotic distributions of the condensates are revealed. A method of chaos control with linear feedback is presented in this paper. By using the method, we propose a scheme of controlling chaotic behavior in a BEC with atomic mirrors. The results of the computer simulation show that controlling the chaos into the stable states could be realized by adjusting the coefficient of feedback only if the maximum Lyapunov exponent of the system is negative.     

光电反馈混沌系统脉冲同步特性研究

提出光电反馈混沌状态下的混沌脉冲同步.首先, 对激光器的混沌动力学方程进行了数值分析, 通过改变反馈系数和脉冲系数来观测混沌状态的变化, 实现了对混沌激光器的控制;然后, 对脉冲同步方程进行数值分析, 给出了同步的模拟图.实验结果表明此方法能实现混沌同步.     

Anti-control of chaos in p--Ge photoconductor

We present a scheme for the anti-control of chaos in the p--Ge photoconductor system by using a chaotic laser to irradiate and disturb this system. The numerical simulations show that this scheme can be effectively used to control periodic states in this p--Ge system into chaotic states. Moreover, the different chaos states with different chaotic orbits can be obtained by appropriately adjusting the disturbance intensity and disturbance frequency, and by increasing this intensity or reducing this frequency, this p--Ge system gradually evolves to fully developed chaotic states.     

间歇反馈法实现单模Lorenz-Haken激光系统的周期镇定与同步

针对单模Lorenz-Haken激光系统中存在的混沌现象, 提出一种单变量间歇反馈控制方案. 数值结果表明, 通过选择不同的控制强度, 可将Lorenz-Haken激光混沌系统镇定到1周期态、2周期态、4周期态、6周期态、8周期态等. 同时, 利用该控制方案, 实现了Lorenz-Haken激光混沌系统的同步.     

Chaos dynamics in vertical-cavity surface-emitting semiconductor lasers with polarization-selected optical feedback

We study experimentally and numerically the dynamic states of chaotic oscillations in vertical-cavity surface-emitting semiconductor lasers (VCSELs) with polarization-selected optical feedback. We identify the regimes of fully-developed chaotic states, low-frequency fluctuations (LFFs), and coexistent states of LFFs and stable oscillation for the variations of the bias injection current and the optical feedback ratio. In particular, coexistent states of LFFs and stable oscillations are observed at higher optical feedback ratio and lower bias injection current. We draw maps of dynamic states in the space of the bias injection current and the optical feedback ratio. The qualitative agreement between the theory and the experiment is found.     

光注入和光电反馈联合作用下垂直腔表面 发射激光器的动力学特性研究

基于自旋反转模型, 研究了垂直腔表面发射激光器(VCSEL) 在光注入和光电反馈共同作用下的动力学特性. 研究结果表明: 一个受到主VCSEL光注入的副VCSEL, 在同时存在光电正反馈时, 其输出的两个线偏振模式(X和Y偏振模) 可呈现周期、 倍周期、 多周期、 混沌等丰富的动力学状态, 且两偏振模动力学态的演化路径存在差异. 各动力学状态在由反馈强度f与注入强度η 所构成的参数空间的分布区域随着主、 副VCSEL 的频率失谐Δν(Δν=ν_m-ν_s, ν_m, ν_s 分别为主、 副VCSEL自由运行时的振荡频率) 的变化而发生改变. 当Δν为正失谐时, 呈现混沌的区域相比零失谐和负失谐时有明显的扩展, 即副VCSEL能在更大的参数范围内实现混沌输出. 对于特定的频率失谐, 分析了光电正反馈强度f和光注入强度η对混沌输出带宽的影响. 通过合理选择反馈强度以及注入强度, 可使副VCSEL混沌输出带宽显著增加.     

混沌神经网络的延时反馈控制研究

针对混沌神经网络，提出了一种改进的延时反馈控制方法. 利用该方法，当延时参数τ为奇数时，被控神经网络收敛于记忆模式以及它的反相模式的2周期上. 若选取不同的延时参数，被控网络则收敛于不同的周期态上. 关键词： 控制混沌 延时反馈控制 混沌神经网络     

耦合反馈控制双环掺铒光纤激光器混沌

 提出双环掺铒光纤激光器耦合反馈控制混沌的物理模型,利用定向耦合器将系统的输出变量反馈到系统中,通过间接控制损耗系数,并选取适当的反馈系数,实现对系统混沌的控制。分析了反馈系数对激光器由混沌态进入周期态和稳定态的动力学行为的影响。数值模拟表明：改变系统损耗系数,双环掺铒光纤激光器可由周期态进入混沌态;加入耦合反馈,适当调制反馈系数,可以将双环光纤激光器混沌控制到周期态和稳定态上;提高系统反馈系数,系统进入稳定态的时间变短。选取不同的系统初值,激光器总能得到两种不同的奇怪吸引子,可见双环掺铒光纤激光器具有双稳态特征。     

用滑模变结构控制方法实现外腔反馈式半导体激光器的混沌控制

通过增加外腔反馈式半导体激光器的激光反馈时间，使系统处于混沌状态，再采用滑模变结构控制方法实现这种激光器的混沌控制.该方法的优点是系统既能很快地获得稳定的输出激光，又能根据工程需要实现激光输出功率强度的灵活调整.理论分析和数值计算结果表明控制结果具有很强的稳定性和鲁棒性.研究结果对改善实际激光系统稳态输出的快速性、输出功率的灵活可调性和能量转换效率有较好的参考价值. 关键词： 混沌 外腔反馈式半导体激光器 滑模变结构控制 外腔长度     

Populations of coupled electrochemical oscillators

Experiments were carried out on arrays of chaotic electrochemical oscillators to which global coupling, periodic forcing, and feedback were applied. The global coupling converts a very weakly coupled set of chaotic oscillators to a synchronized state with sufficiently large values of coupling strength; at intermediate values both intermittent and stable chaotic cluster states occur. Cluster formation and synchronization were also obtained by applying feedback and forcing to a moderately coupled base state. The three cases differ, however, in other details. The feedback and forcing also produce periodic cluster states and more than two clusters. Configurations of two (chaotic) clusters and two, three, or four (periodic) clusters were observed. (c) 2002 American Institute of Physics.     

半导体激光器混沌光电延时负反馈控制方法研究

提出半导体激光器混沌光电延时反馈控制方法.通过附加一个光电延时电路控制系统,建立了三个有光电延时反馈条件下的注入激光混沌控制物理模型.进行了有控制时的最大Lyapunov指数分析.数字仿真发现,当调节延时时间和反馈光电流时,能控制激光混沌到3周期态、5周期态等;当周期键控光电流时,能控制激光混沌到8周期态、9周期态等;最后,通过组合应用光电延时反馈控制电路系统与附加周期调制驱动电流时,能有效地控制激光混沌到单周期态以及其他周期态. 关键词： 混沌 控制 激光器 光电转换     

Clustering of arrays of chaotic chemical oscillators by feedback and forcing

Feedback and external forcing are applied to an array of chaotic electrochemical oscillators through variations in the applied potential. We see transitions from intermittent clusters to stable chaotic clusters to stable periodic clusters to synchronized states as the feedback gain and forcing amplitude, respectively, are varied. With forcing up to four clusters are observed in stable states. The transition to synchronization with feedback occurs by the increase in the size of one cluster at the expense of the others.     

短外腔偏振旋转光反馈下1550nm垂直腔面发射激光器的动力学特性研究

基于扩展的自旋反转模型,对短外腔偏振旋转光反馈下1550 nm垂直腔面发射激光器的动力学特性进行了数值仿真和理论分析.研究结果表明:增加反馈强度会导致多个偏振开关现象出现,中等反馈强度下呈现丰富的动力学状态,譬如单周期、倍周期、准周期及混沌态,增加注入电流使Y方向线偏振模的工作区域被压缩;随着反馈延迟时间的增加,在弱光反馈时,偏振模跳变现象将会以特定的频率发生,施加中等的反馈强度将会导致模式跳变的频率增加,并且出现各种新的动力学状态,包括拍频单周期、拍频脉冲包络、拍频准周期和拍频混沌态.新动力学行为的出现是由于短外腔区激光器的动力学特性对相位变化非常敏感,从而使外腔模式间的拍频效应发挥了关键作用.此外还发现各种动力学状态之间会伴随模式间的跳变而发生相互跳变.     

Chaotifying a stable linear controllable system by single input state feedback

In this paper, an approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The overflow function of the system states is designed as the feedback controller, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yields chaotic dynamics. Based on the Marotto theorem, it proves theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed method.     

半导体激光器输出混沌光的延时特性和带宽

提出一个新的方案用于抑制半导体激光器输出混沌光的延时特性并研究其带宽.在该方案中,将由伪随机信号驱动的相位调制器加到具有双路光反馈的半导体激光器的两个反馈腔中,从而构成具有双路相位调制光反馈的分布反馈半导体激光器系统.数值研究了延迟时间和反馈系数等参数对该系统输出混沌光的延时特性的影响,用自相关函数曲线中的延时特征峰的最大值表示延时特性.然后将该系统对延时特性的抑制效果和具有双路光反馈的分布反馈半导体激光器系统以及具有单路相位调制光反馈的分布反馈半导体激光器系统进行比较,结果表明本文所提出方案的抑制效果最好.进而基于能有效抑制延时特性的参数条件研究了具有双路相位调制光反馈的分布反馈半导体激光器输出混沌光的带宽,结果表明,抽运因子的增大和反馈系数的增加都能使系统输出混沌光的带宽变大.