含两个忆阻器混沌电路的动力学分析

基于蔡氏混沌振荡电路，设计了一个含有两个忆阻器的五阶混沌电路，建立了其无量纲数学模型．利用常规的动力学分析方法，进行了该电路平衡点集的稳定性分析，得到了忆阻器初始状态所对应的稳定的和不稳定的区域分布，并研讨了该电路依赖于电路参数与忆阻器初始状态的复杂动力学行为．理论分析和数值仿真结果表明，本文设计的忆阻混沌电路具有一个位于忆阻器内部状态变量所构成平面上的平衡点集，平衡点集的稳定性取决于电路参数与两个忆阻器的初始状态，由此产生了状态转移和瞬态超混沌等非线性动力学现象．     

电力系统中的混沌现象与小扰动稳定域

首先简要地回顾了电力系统小扰动稳定域(small signal stability analysis, 简记为SSSR)的研究现状，指出弄清电力系统混沌现象对SSSR边界组成影响的重要意义.接着，利用一个示例系统和非线性动力系统的相关分析方法研究了电力系统由单周期分岔到混沌的过程及其能量的变化规律. 据此做出了混沌现象仅在电力系统SSSR的HB界面之外的命题.基于这一命题，建议在实用的电力系统SSSR的研究中，排除对混沌现象的考虑，从而使实用的SSSR的研究工作大大简化.此外，还对混沌吸引子和极限环的伪稳定域进行了研究，进而剖析了现有文献关于混沌现象对SSSR边界影响的研究中出现错误的原因.     

混沌动力系统的反馈控制

本文简单叙述了当今非线性科学的前沿理论之一的混沌理论，详细地介绍了混沌动力系统的反馈控制方法，并指出了目前控制混沌动力系统存在的问题及其应用发展前景。     

多项式混沌方法在随机方腔流动模拟中的应用

介绍了应用于随机流动分析的嵌入式多项式混沌方法,并以一维欧拉方程为例,介绍了多项式混沌展开式与流体力学方程的耦合过程．采用此方法对随机层流Navier—Stokes方程进行求解,模拟了存在不确定性因素影响的二维顶盖驱动流．本文分别研究了当顶盖驱动速度和流体粘性系数为服从高斯分布的随机变量时所引起的流动结构的不确定性．在与基准解进行对比确认的基础上,分析了流场速度的统计特性．研究结果表明,多项式混沌方法可以有效地模拟不确定性在流场中的传播．对于顶盖驱动的层流方腔流动,驱动速度的不确定性比流体粘性不确定性对模拟结果的影响显著．     

混沌同步系统的频率特性和微弱信号检测

提出了混沌同步系统的频率特性概念，它可描述该类系统的频域性质，建议了一种测量自混沌同步系统频率特性的模型，获得了蔡和Ｌｏｒｅｎｚ混沌同步系统的频率特性曲线。理论分析和数值模拟结果表明这些系统具有多种特性的频带，提供了可以利用的不同频段，特别地，其些频段对噪声“淹没”微弱信号具有较强的检测能力。频率特性概念和频率特性曲线为深入认识混沌同步系统的信号处理功能和正确开发其中的信息资源提供了科学依据。     

基于SVPWM串联有源电力滤波器的参数选择及仿真

针对典型的三相整流电路对电网产生的影响,介绍了串联有源电力滤波器电路参数设置,探讨了易于数字化的SVPWM跟踪算法,应用于串联有源电力滤波器内层跟踪控制中的补偿效果.并用比较的方法,重点对串联有源电力滤波器电路进行了计算机仿真分析.     

激光混沌同步及其在光纤保密通信中的应用

通过耦合激光混沌同步系统和光纤传输信道, 提出光纤混沌保密通信设想; 建立了半导体激光器激光混沌反馈同步系统, 导出了同步误差和解码公式; 模拟实现了波长1.31 μm分布反馈半导体激光器的两个激光混沌系统的同步, 其同步误差几乎为零; 分析了系统参数失配、同步暂态响应、噪声影响; 提出了增加反馈系数提高同步和抗干扰的方法. 分析了光纤中的群速度色散效应和自相位调制对激光混沌信号及其同步的影响, 发现群速度色散不仅会影响脉冲的形态, 而且会影响激光混沌同步及其解码, 限制光纤混沌通信的传输距离; 而自相位调制却并不影响脉冲的形态, 但产生的非线性相移却会影响激光混沌同步及其解码, 限制光纤混沌通信系统的传输距离, 并由此导出了光纤混沌通信中的最大光功率公式; 数值模拟了远程光纤混沌保密通信的振幅调制和参数调制的应用方法.     

用于混沌同步的非线性观测器的稳定性分析

首先讨论了时间连续驱动混沌同步非线性观测器的线性化误差动力学方程的稳定性,给出了关于观测器渐近稳定性的判别准则.[KG*2]随后通过理论分析和数值仿真发现,在时间离散驱动下,只要满足一定条件,观测器与原系统仍有可能达到同步,而不管在连续驱动时是否有渐近稳定的同步观测器存在. 最后推导出了时间离散驱动时混沌同步非线性观测器的渐近稳定性的判别准则,仿真实验结果验证了该准则的正确性.     

心脏血液耦合动力系统的混沌同步模型

建议了一种心脏血液耦合动力系统的混沌同步模型。由心脏自持弛张振动，血液在心脏内的流动动力学和窦房结自律性振动三部分相互耦合，建构成１个七维非线性动力系统，右心和左心两部分之间的协调运动用１个七维自混沌同步系统逼近。数值模拟实验表明，该模型具有混沌性态，其中代表心脏整合心肌细胞膜电位变量的时间波形与从正常人体记忆的某些导联的心电图（ＥＣＧ）在表象形态上相似，该模型在一定程度上可表征正常人体心脏的复杂     

基于Multisim10的RLC串联电路频率特性仿真测试

Multisim10是电子电路仿真实验中广泛应用的理想工具。本文以Multisim10为平台,对RLC串联电路进行了必要的仿真、测试,分析了其幅频特性、相频特性,提出了提高电路选频作用的方法。     

Suppression of chaos by periodic oscillations in a model for cyclic AMP signalling inDictyostelium cells

We investigate how the introduction of cells oscillating periodically affects the behaviour of a suspension ofDictyostelium discoideum amoebae undergoing chaotic oscillations of cyclic AMP. The analysis of a model indicates that a tiny proportion of periodic cells suffices to transform chaos into periodic oscillations in such suspensions. A similar result is obtained by forcing the aperiodic oscillations by a small-amplitude, periodic input of cyclic AMP. The results provide an explanation for the observation of regular oscillations in suspensions of a putatively chaotic mutant ofDictyostelium discoideum ¹². More generally, the results show how chaos in biological systems may disappear through the coupling with periodic oscillations.     

Regular oscillations in suspensions of a putatively chaotic mutant ofDictyostelium discoideum

Summary We have tested the light-scattering properties of suspensions of theDictyostelium discoideum mutantHH201 derived from the mutantFr17. Previous studies indicated thatHH201 andFr17 possess highly irregular rhythmic properties which might represent aperiodic oscillations, i.e. chaos. We report that the former mutant can display regular oscillatory behavior. Possible explanations for this result are discussed, including that of a transition from chaotic to periodic behavior resulting from some parameter change or from strong intercellular coupling in cell suspensions.     

运用Lyapunov指数方法的车辆横向运动混沌分析及其滑模变结构控制

建立了考虑车辆横摆、侧向以及侧倾运动的3自由度非线性整车模型：运用Lyapunov指数方法对所建立的非线性整车模型进行了混沌的数值仿真分析．通过最大Lyapunov指数图和分岔图发现,车辆的横向运动非常复杂,包含了倍周期、拟周期以及混沌运动,对于车辆极限工况时的横向运动稳定性是不利的．利用滑模变结构控制（sliding mode variable structure control,SMVSC）方法,设计了SMVSC控制器,对车辆横向运动中的混沌进行了控制．为了减少SMVSC控制系统的抖振,进一步提高车辆在极限工况下行驶的横向运动稳定性,采用了幂次趋近律,利用模糊控制的方法实现了趋近律的自适应策略．最后将所设计的自适应趋近律的SMVSC系统在Matlab中进行了仿真,并将未加控制,SMVSC控制以及自适应趋近SMVSC控制三种仿真结果进行了对比分析,发现采用了自适应趋近的SMVSC控制对混沌的控制效果比其他的都要好,有效抑制了车辆横向运动中的混沌,显著提高了车辆在极限工况下行驶的横向稳定性,充分证明了该控制策略是有效的．     

Regular oscillations in suspensions of a putatively chaotic mutant of Dictyostelium discoideum

We have tested the light-scattering properties of suspensions of the Dictyostelium discoideum mutant HH201 derived from the mutant Fr17. Previous studies indicated that HH201 and Fr17 possess highly irregular rhythmic properties which might represent aperiodic oscillations, i.e. chaos. We report that the former mutant can display regular oscillatory behavior. Possible explanations for this result are discussed, including that of a transition from chaotic to periodic behavior resulting from some parameter change or from strong intercellular coupling in cell suspensions.     

Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance

The bifurcations and chaotic dynamics of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate are studied for the first time,which are simultaneously forced by the transverse,in-plane excitations and the excitation loaded by piezoelectric layers.Based on the Reddy's third-order shear deformation plate theory,the nonlinear governing equations of motion for the composite laminated piezoelectric rectangular plate are derived by using the Hamilton's principle.The Galerkin's...     

The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales

The dynamics of a typical Belousov-Zhabotinsky (BZ) reaction with multiple time scales is investigated in this paper. Different forms of periodic bursting phenomena, and specially, three types of chaotic bursters with different structures can be obtained, which are in common with the behaviors observed in experiments. The bifurcations connecting the quiescent state and the repetitive spikes are presented to account for the occurrence of the NK oscillations as well as the different forms of chaotic bursters....     

Stable regularities without governing laws?

Can stable regularities be explained without appealing to governing laws or any other modal notion? In this paper, I consider what I will call a ‘Humean system’—a generic dynamical system without guiding laws—and assess whether it could display stable regularities. First, I present what can be interpreted as an account of the rise of stable regularities, following from Strevens (2003), which has been applied to explain the patterns of complex systems (such as those from meteorology and statistical mechanics). Second, since this account presupposes that the underlying dynamics displays deterministic chaos, I assess whether it can be adapted to cases where the underlying dynamics is not chaotic but truly random—that is, cases where there is no dynamics guiding the time evolution of the system. If this is so, the resulting stable, apparently non-accidental regularities are the fruit of what can be called statistical necessity rather than of a primitive physical necessity.     

Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator

Crisis and stochastic bifurcation of the hardening Helmholtz-Duffing oscillator are studied by means of the generalized cell mapping method using digraph. For the system subject to a single deterministic harmonic excitation, our study reveals that a series of crisis phenomena can occur when the system parameter passes through different critical values, including chaotic boundary crisis, regular boundary crisis and interior crisis. A chaotic boundary crisis due to the collision of regular attractor with chao...     

Non-integrability and mixing in quantum systems: On the way to quantum chaos

In spite of the increasing attention that quantum chaos has received from physicists in recent times, when the subject is considered from a conceptual viewpoint the usual opinion is that there is some kind of conflict between quantum mechanics and chaos. In this paper we follow the program of Belot and Earman, who propose to analyze the problem of quantum chaos as a particular case of the classical limit of quantum mechanics. In particular, we address the problem on the basis of our account of the classical limit, which in turn is grounded on the self-induced approach to decoherence. This strategy allows us to identify the conditions that a quantum system must satisfy to lead to non-integrability and to mixing in the classical limit.     

Electrophysiological properties of the follicle wall in the pig ovary

The transmural potential difference and short-circuit current of the porcine Graafian follicle have been measured in an attempt to test whether antral fluid accumulates as a result of active transport of salt. The values obtained by mounting explants of follicle wall in Ussing chambers were close to zero and the specific electrical resistance was only 59 delta.cm2. The elemental composition of the follicular fluid was similar to that of ovarian venous plasma with the exception of follicular Na+ which was slightly more abundant. Bicarbonate concentrations were slightly lower in follicular fluids. These findings were interpreted as evidence that the follicular wall is a leaky epithelium and, therefore, any charge resulting from net ion transport will be shunted along low resistance paracellular pathways.