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动力系统稳态解的分叉及其数值分析
引用本文:刘铁牛,李兵,张锡成.动力系统稳态解的分叉及其数值分析[J].大连理工大学学报,1991(5).
作者姓名:刘铁牛  李兵  张锡成
作者单位:大连理工大学工程力学系,大连理工大学工程力学系,大连理工大学工程力学系 北京首钢大学机电系
摘    要:

关 键 词:动力系统(数学)  映射(数学)  不动点  稳定性  分叉现象

Bifurcation of steady state solution and numerical analysis in dynamical systems
Liu Tieniu,Li Bing,Zhang Xicheng.Bifurcation of steady state solution and numerical analysis in dynamical systems[J].Journal of Dalian University of Technology,1991(5).
Authors:Liu Tieniu  Li Bing  Zhang Xicheng
Abstract:Two numerical methods for calculating. bifurcation are given. One is used to calculate the equilibrium state bifurcation in dynamic systems with parameters, and the other to calculate the mapping fixed-point bifurcation with parameters, which is useful not only for autonomous and nonautonomous systems but also for all dynamic procedure which can be trasferred into mapping. The calculation results show that the methods are quite effective.
Keywords:dynamical system (mathematics)  mapping(mathematics)  fixed-point  stability  bifurcation
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