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本文研究了具有非线性滞回特性的振动系统的稳定性及分叉行为 ,讨论了系统微分方程的非临界情形 ,分析了系统具有单零和一对纯虚数特征值的分叉行为 ,得到了滞回系统的具有 7阶精度的中心流形及Hopf分叉必要条件
In this paper, the stability and bifurcation behavior of a vibrating system with nonlinear hysteretic behavior are studied. The non-critical case of the system differential equation is discussed. The bifurcation behavior of the system with single zero and a pair of pure imaginary eigenvalues is analyzed. Necessary Conditions of Hopf Bifurcation and Central Manifold with 7th Order Accuracy for Hysteretic System