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Study of Complex Phenomena for Nonlinear Systems by Numerical Analysis Methods

机译:数值分析方法研究非线性系统的复杂现象

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摘要

This paper analyzed nonlinear systems by numerical analysis methods and introduced characteristics of nonlinear systems, which included highly sensitive to the initial value, the largest Lyapunov exponent and continuous power spectrum. It also studied the typical continuous chaotic dynamical systems Chua circuits and discontinuous chaotic dynamical systems Henon mapping. It can observe complex phenomena of systems by many aspects such as time domain waveforms, phase graphs, Poincare sections, bifurcation diagrams and the largest Lyapunov exponent and so on. It can prove that the research method of complex phenomena are feasibility and correct.
机译:本文通过数值分析方法对非线性系统进行了分析,介绍了非线性系统的特征,包括对初始值高度敏感,最大的李雅普诺夫指数和连续功率谱。它还研究了典型的连续混沌动力学系统Chua电路和不连续混沌动力学系统Henon映射。它可以从多个方面观察系统的复杂现象,例如时域波形,相位图,庞加莱截面,分叉图和最大Lyapunov指数等。可以证明,复杂现象的研究方法是可行和正确的。

著录项

  • 来源
    《Journal of information and computational science》 |2015年第9期|3689-3695|共7页
  • 作者

    Wei Jiang; Fang Yuan;

  • 作者单位

    Engineering Research Center of Nuclear Technology Application Ministry of Education, East China Institute of Technology, Nanchang 330013, China;

    Engineering Research Center of Nuclear Technology Application Ministry of Education, East China Institute of Technology, Nanchang 330013, China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nonlinear; Continuous Systems; Discrete Systems;

    机译:非线性连续系统;离散系统;

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