deterministic chaos

Application of deterministic chaos theory analysis to engineering stochastic signals

工程随机信号的确定性混沌理论分析方法

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The deterministic motions and deterministic chaos of the nonlinear system with long time motion are discovered. Food supply was surveyed by weighing and account checking, energy-consumption was assayed by time motion method, and biochemical indices and physical development were measured by the standard methods.

揭示了该族非线性映射存在的两种运动行为：确定性运动和确定性浑沌.膳食调查采用称量法和查帐法相结合的方式，能量消耗采用时间活动法，生化检测、体测量采用全军统一方法。

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Certain characteristics of the BK model, such as deterministic chaos, self organization, and solitary waves, among others, provide heuristic clues to the understanding of the nature of earthquakes and shed light on the problem of earthquake prediction.

BK模型的一些性质，例如确定性浑沌、自组织、孤立波，等等，能够为理解地震的性质和解决地震预测问题提供有用的线索。

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Deterministic Chaos Analysis on the Procedure of System Catastrophe

事故过程的确定性混沌分析方法

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The first task of applying deterministic chaos theory to studying the dynamics of fluidized bed from the time series of pressure fluctuation is the computation of delay time of reconstructed phase space. This paper studies the influence of periodic and stochastic signal on the computation.

应用混沌理论从流化床压力波动时间序列来研究流化床动力学行为的首要任务就是确定重构相空间滞时。

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A short-term prediction method developed on the basis of the deterministic chaos theory is used to predict the time series of pressure fluctuations in a gas-liquid bubble column with a single orifice.

气液两相绕流柱体时的涡街特性研究应用混沌预测方法，对气液两相单孔鼓泡系统的压力波动时间序列进行了短期预测。

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To solve the problem, the paper analyzes a deterministic chaos RNG based on Piecewise Linear Map, and then presents the principle for simulation according to its chaotic equation.

为了解决这一问题，在分析了一个分段线性映射的、决定论混沌的随机数发生器的基础上，根据它的混沌公式提出了基本的仿真原理。

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After reviewing the development of accident cause theories, method for deterministic chaos analysis on the procedure of system failure is proposed.

综述了对事故致因理论的研究现状；提出了系统事故过程的确定性混沌分析方法；

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Consequently, the turbulence is composed of the deterministic chaos and the random noise, where the motion of large eddies in the turbulence follows the rule of chaotic motion and the random noise arises from the random motion of small eddies in the turbulence.

由此可见，湍流可分解为确定性的混沌和随机噪声两部分，其中湍流中大涡的运动遵循混沌运动规律，而湍流中小涡的随机运动构成了湍流的随机噪声。

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Deterministic chaos theory was used to analyze the time series and consequently Kolmogorov entropy was calculated to describe the dynamic characteristics of signals.

利用确定性混沌理论分析了局部密度脉动信息，以Kolmogorov熵定量地表征系统的动力学特征。

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Previous research proved that deterministic chaos exists in the activity of neuron or neural system ( including time series of neuron firing), found that the activity of neuron or neural system correlated closely with their non-linear dynamic state.

近年来的研究证明，神经系统的复杂活动（包括神经元放电的脉冲系列）存在确定性混沌，并且神经元或神经系统的功能活动与其非线性动力学状态尤其是混沌特征密切相关。

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The foundation of this theory can be considered as composed of five branches: the basis of thermodynamics, the deterministic description of spatiotemporal structures ( including wave phenomena), deterministic chaos, the fluctuation triggering non-equilibrium phase transition and the transition induced by external noise.

这一理论的基础可以看作是由五部分组成的：热力学基础，时空结构（包括波动）的确定性描述，确定性混沌，触发非平衡相变的涨落以及外噪声诱导相变。

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Deterministic Chaos& The New Modes of Thinking Are Aroused

确定性混沌&启迪新的思维方式

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Non-integral correlation dimensions and positive largest Lyapunov exponents proved that the rising and coalescence of bubbles were deterministic chaos with great complexity, and coalescence extent could be estimated with largest Lyapunov exponent.

关联维数的非整数特征和最大Lyapunov指数均大于0表明气泡上升及聚并过程是确定性的混沌运动，并且具有较高的复杂度，通过最大Lyapunov指数还可以对聚并程度做近似判断。

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The analysis method of deterministic chaos theory and traditional methods are used to analyze the time-series of different parameters.

然后应用确定性混沌分析技术并结合传统分析方法对不同变量时间序列进行了非线性分析，并讨论了不同加热管以及不同轴向位置传热非线性特性的差异。

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The chaotic bubbling mechanism in the gas-liquid two-phase bubble column with a single orifice was studied using the deterministic chaos analysis technique.

运用确定性混沌分析技术，研究了气液两相单孔鼓泡过程的混沌机理。

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