非线性系统的来源及奇异性分析

Source of nonlinear system and analysis of singular properties

就变比、饱和、振荡、多值响应、循环、失灵、折叠几种典型情形介绍了非线性系统的来源 ,并分析了非线性系统不同于线性系统的特征 :系统稳定性与初值有关且可能存在多个平衡状态 ;系统可能产生自激振荡 ;系统平衡态失稳后可进入混沌态 .对非线性系统的研究有助于揭示事物发生与发展的因果关系 。

The source of nonlinear system is given based on some typical situations of changing-rate,saturation, oscillation, multiple-value responses circulation,glitch,collapsing and so on.And the different characteristics from linear systems are discussed such as initial-value related statibility,possibly generated self-oscillate and entering chaos states from balanced ones after leaving the stable states.The research on the features of nonlinear system will be helpful for discovering causality of objects' production and development.And the great contribution to determine the fixed states of non- periodicsignals is analysed for the development of systematic science.