车辆系统Hopf分叉的代数求解方法

Algebraic Method of Hopf Bifurcation of Railway Vehicle System

摘要: 运用运动稳定性及分叉理论,研究了非线性车辆系统的蛇行运动分叉现象,提出利用 Hurwitz行列式,给出平衡点失稳而发生Hopf分叉的代数判定准则和计算方法,这一方法将Hopf 分叉点的求解转化为一个非线性方程的求解问题,并用此方法进行了客车系统运动稳定性的研究。
- 车辆 /
- 稳定性 /
- 分叉 /
- 蛇行运动
Abstract: The theories of stability and bifurcation are used to analyze the hunting bifurcation of nonlinear railway vehicle system in this paper. An algebraic criterion of the point causing Hopf bifurcation and its analysis method are given with Hurwitz determinant. By using this method, the research on the stability of passenger car is made.
- railway vehicle /
- stability /
- bifurcation /
- hunting

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