动力学混沌

非线性时间序列的动力学混沌特征自动提取技术

Dynamic chaos features auto-extracting technique of non-linear time series

研究复杂系统的相关理论和方法主要包括非线性动力学和混沌理论、Agent和基于Agent的建模、网络等。

The current relative theories and methods on studying complex systems include nonlinear dynamics and chaos , Agent and Agent-based models , networks and so on .

方法：应用非线性动力学的混沌与分形理论对正常受试者和患者的TMJ音进行分形分析。

Methods : Fractal analysis of TMJ sounds in normal subjects and patients were done by the theory of chaos and fractal in nonlinear dynamics .

最后，本文还成功地将基于Gauss-Legendre公式的路径积分法用于非线性动力学系统混沌响应的研究。

Finally , we discuss the application of the path integration based on Gauss-Legendre formula in analyzing the chaotic response of the Mathieu-Duffing oscillator .

本文对混沌动力学与混沌保密通信进行综述后，采用Matlab仿真技术，系统地分析了典型混沌系统的动力学特性，为设计保密性能更好的混沌保密通信系统奠定了技术基础；

In this paper , in order to prepare the technical basis for designing chaotic secure communication systems with better security , chaos dynamics and chaotic secure communication are surveyed , and the dynamic properties of the typical chaotic systems are analyzed systematically by way of Matlab simulation .

书名：非线性动力学与混沌宇宙：我们要从这里去哪里？

Nonlinear Dynamics and Chaos : Where Do We Go from Here ?

基于符号动力学控制混沌动力学系统

Control chaotic dynamic system basing on symbolic dynamics

激光器的混沌动力学及其混沌控制与同步研究

Study on the Chaotic Dynamic of Laser and Its Chaos Control and Chaos Synchronization

基于符号动力学的混沌信号处理研究

Study on Chaotic Signal Processing with Symbol Dynamics

近年来，医学研究已经把很多注意力放在心脏动力学的混沌上。

In recent years , medical research has drawn more attention to chaos in cardiac dynamics .

对空间机器人动力学系统混沌施加状态延迟反馈控制，使其由混沌运动转变为规则的周期运动。

The state delayed feedback controller is used to turn the chaotic into regular motion in the dynamic chaotic system .

气液两相单孔鼓泡流体动力学行为混沌预测

CHAOS PREDICTION OF HYDRODYNAMIC BEHAVIOR IN GAS-LIQUID TWO-PHASE BUBBLE COLUMN WITH SINGLE ORIFICE Numerical Investigation of Nonlinear Dynamics of Cavitation Bubble Motion

本文综述了基于混沌动力学的混沌加密体制，基于量子物理学的量子加密体制，基于光学信息处理的光学模式识别加密体制。

In this paper , physical cryptography is discussed , including three cryptosystem : cryptosystem based on optics patten recognition , cryptosystem based on chaotic dynamics , and cryptosystem based on quantum physics .

分形自20世纪70年代被定义以来，已成为非线性动力学与混沌理论的基本组成部分。分形结构普遍出现在非线性系统中，又总是与相空间紧密联系在一起的。

Fractals have become a fundamental ingredient of nonlinear dynamics and chaos theory since they were defined 1n the 1970s . Fractal structures appear naturally in dynamical systems , in particular associated with the phase space .

通过计算相空间状态点间的欧氏距离，定义相对嵌入维数的态密度和态方差，并与反映非线性动力学系统混沌特征的关联维数作比较。

By calculating the Euclidian dis-tances of the phase point in phase space , both the phase density and the phase variance are defined and compared with correlation dimension which reflects the chaotic features of nonlinear dynamics system .

结果表明，Lorenz系统不仅具有动力学特性（混沌特性和奇异吸引子特性），还具有对称性和周期性。

The results show that the Lorenz system not only has dynamical characters , but also symmetric and period characters .

在本论文中，我们研究了被称为Jerk模型的分数阶非线性动力学系统的混沌动态行为。

In this thesis , we study the chaotic behavior of a fractional-order ( FO ) nonlinear dynamic system referred to as Jerk equation in the literature .

通过求Floquet指数讨论平衡点邻域的稳定性，用复变函数留数理论求出Melnikov函数，可得到该动力学系统发生混沌运动的临界条件。

The stability near the equilibrium point was discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function .

文章利用庞加莱截面来研究二自由度混沌系统Henon-Heiles体系在相空间的运动轨迹，并通过图像讨论了体系的动力学特性和混沌的形成过程。

In this theory , we used Poincare section to study the trajectories for the Henon-Heiles system with two degrees of freedom in phase space . We also discussed the system 's dynamics characteristic and chaos'pose with the picture .

连续动力学系统中混沌的参数开闭环控制

Parametric open plus closed loop control of chaos in continuous dynamical systems

变形蔡氏电路的动力学分析及混沌控制

Dynamical Analysis and Chaos Control of Modified Chua 's Circuit

液固及气液固三相并流系统的动力学行为和混沌产生的研究

Hydrodynamics and chaotic mechanism in liquid-solid two-phase and gas-liquid-solid three-phase cocurrent flow system

对几类系统的动力学分析及混沌控制

Dynamic Analysis and Chaos Control for Several Typical Systems

非线性环型腔反馈激光系统的动力学特性及其混沌控制

Chaotic dynamics and chaos control in nonlinear laser systems

人体内分泌系统非线性动力学模型的混沌特性研究

Study on the Chaotic Behavior of the Nonlinear Dynamical Model for Human Interal Secretion

非线性动力学系统中混沌控制与同步的研究近年来引起了人们极大的关注。

This thesis is devoted to the study of chaos control and synchronization of forced Brusselators .

兔嗅觉系统非线性动力学研究&混沌仿真的数学基础

A Study on Non-Linear Dynamics of Rabbit ′ s Olfactory System & Mathematic Basis of Chaos Simulation

两种方法均是利用系统动力学行为从混沌状态到大尺度周期状态临界处的特性。

Both the two weak signal detection methods are dependent on the property of the system at the critical value .

以混沌神经网络为基础，研究其非线性动力学特性、混沌吸引子轨迹以及对初始条件的敏感性，实现混沌神经网络的动态联想记忆功能。

Dynamic associative memory and essential characteristics of chaotic neural network is dealt with : nonperiodic chaos , chaotic attractors , and sensitivity to starting condition .

具有高度复杂非线性动力学特性的混沌神经网络系统已成为近年来进行加密通信应用研究的热点课题。

The chaotic neural networks with the characteristics of very complicated nonlinear dynamics have been a hot project of application to secure communications in recent years .