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具有时滞物价微分方程模型的稳定性和Hopf分支分析

发表时间:2011-01-15  浏览量:2316  下载量:922
全部作者: 王勇,翟延慧,唐占锋
作者单位: 天津工业大学理学院
摘 要: 利用Hopf分支定理、规范型理论及其中心流行定理,通过选择时滞作为分支参数,分析线性化系统的特征方程,得到系统平衡点的稳定性和Hopf分支存在的充分条件,并给出确定Hopf分支方向和分支周期解的稳定性计算公式。最后,通过数值模拟,很好地验证了理论结果。
关 键 词: 微分方程与动力系统;时滞;物价微分方程模型;稳定性;Hopf分支
Title: Stability and Hopf bifurcation of differential equation model of price with time delay
Author: WANG Yong, ZHAI Yanhui, TANG Zhanfeng
Organization: School of Science, Tianjin Polytechnic University
Abstract: By choosing time delay as the bifurcation parameter and analyzing the associated characteristic equation of the linearized system, the linear stability of the system is studied and Hopf bifurcations are established. In particular, the formulae determining the direction of bifurcations and the stability of bifurcating periodic solutions are given by using the normal form theory and center manifold theorem. Finally, the numerical simulation verifies the theoretical results.
Key words: differential equation and dynamical system; time delay; differential equation model of price; stability; Hopf bifurcation
发表期数: 2011年1月第1期
引用格式: 王勇,翟延慧,唐占锋. 具有时滞物价微分方程模型的稳定性和Hopf分支分析[J]. 中国科技论文在线精品论文,2011,4(1):49-55.
 
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