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Lorenz-1ike系统的叉形分支现象
引用本文:杨高翔.Lorenz-1ike系统的叉形分支现象[J].重庆三峡学院学报,2009,25(3):139-142.
作者姓名:杨高翔
作者单位:安康学院数学系,陕西安康725000
摘    要:大量文献研究均是以一次项系数为分岔参数,它们的分岔图形具有连续性,并且可以用特征值做更详细的分析,而本文以二次项系数h为分岔参数,研究了Lorenz-like系统叉形分支,并在多种情况讨论中将遇到间断的特性.

关 键 词:稳定  渐进稳定  叉形分支

Pitch-fork bifurcation of Lorenz-like System
YANG Gao-xiang.Pitch-fork bifurcation of Lorenz-like System[J].JOurnal of Chongqing Three Gorges University,2009,25(3):139-142.
Authors:YANG Gao-xiang
Institution:YANG Gao-xiang (Department of mathematics, Ankang University, Ankang, 725000, Shanxi)
Abstract:mainly study the pitch-fork bifurcation of Lorenz-like system, previous work used the coefficient of tem as bifurcation parameter and the graphes of bifurcation were continuous, and gave the detailed analysis with eigenvalue theory. This paper used the coefficient of quadratic item as bifurcation parameter and fund that bifurcation graphes are discontiuous.
Keywords:Stability  Asymptotic stability  Fork Branch
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