local bifurcation theory

基本解释

In Chapter 1, a brief review concerning the theory of local bifurcation and chaos of nonlinear dynamical systems is introduced.
第一章，简单介绍与本文有关的动力系统局部分岔及混沌理论。
In this paper, basic theory of local critical period bifurcation is introduced in chapter one, and then in chapter two, the general method to analyze common zeros of polynomials.
本文在第一章介绍多项式微分系统局部临界周期分岔的基本理论基础上，在第二章介绍用计算机代数系统分析多元高次多项式组零点问题的基本方法。
By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
运用上下解方法，不动点指数理论，局部分歧理论，得出了该系统存在多个正解或惟一正解的条件，即参数对解的个数有一定影响。