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The aim of this paper is to suppress negative effect of noise on complex firing patterns of neurons and extract deterministic dynamical relationship underlying irregular interspike intervals. We first give a brief introduction to ISI data to be analyzed. Then a simple nonlinear noise reduction method based on chaos theory is presented. The method is finally used to analyze ISI data both from a theoretical model and experiments.

围绕如何来消除神经元峰峰间期序列中随机噪声影响从而提取出决定不规则性的确定性动力学关系这个问题，本文首先简要介绍峰峰间期序列样本的制备，然后着重讨论一个简单可行的混沌时间序列降噪方法的原理和算法实现，最终将该方法运用到神经元放电活动数值模拟和实验记录到的峰峰间期时间序列样本分析中。

For a uniform complex dynamical network, linear matrix inequality is adopted to derive a sufficient condition of synchronization.

针对一类一致连结的耦合复杂网络模型，采用线性矩阵不等式的方法给出了实施牵制控制达到同步的充分条件。

We also summarized the effects of nonideal properties on thermodynamic and dynamical behaviors of B-Z reaction system.

在此基础上，对该反应体系进行了动力学稳定性分析，得到了B-Z反应体系定态的稳定区与不稳定区。

In the third chapter, we construct a neural network of continuous-time dynamical system to investigate a nonlinear equation.

在第三章，我们利用连续动力系统神经网络来讨论非线性方程的求解问题。

Now nonlinear dynamical systems with parametric excitation are one of the most important systems in the theory of nonlinear oscillations.

在非线性振动理论中目前最具代表性的一类系统是含有参数激励的非线性动力系统，在这类系统中有着极其丰富和复杂的动力学行为，如分岔、混沌特性等。

Some topics for future research, such as nonlinear dynamical behavior of moving strings, vibration of moving viscoelastic strings, control of hybrid systems containing moving strings and control of nonlinear oscillations of moving strings, are suggested.

最后指出该研究方向今后需要研究的若干重要问题，包括运动弦线的非线性动力学行为、黏弹性运动弦线的振动、含运动弦线的混杂系统的控制和轴向运动弦线非线性振动的控制。

In this paper, modern nonlinear theories such as wavelet, fractal and chaos theories are used in status analysis, fault diagnosis and predicting running trend about nonlinear dynamical systems of turbine generator set and automobile engine.

从常规的FFT频谱分析技术、谱熵分析、时序分析方法、参数分析法、贝叶斯统计分析方法、模式识别技术、模糊诊断技术到专家系统和人工神经网络技术的应用，使故障诊断技术得到了飞速发展。

Numerical analysis to Lorenz dynamical system indicates that the method converges quickly and steadly for arbitrary nonzero initial state.

对以Lorenz动力系统为主的数值计算，验证了该算法的快速性及其稳定性。

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

Combined with results of theory,shaking table test and numerical simulation,dynamical interaction and aseismic capability of soil-structure system are studied and analyzed based on analysis of theory and calculation.

采用数值仿真试验进行结构地震反应的理论和计算分析，将理论分析结果、振动台试验结果和计算机仿真结果三者结合起来，研究和分析地基–结构动力相互作用及其抗震性能。

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。