Takens-Bogdanov分岔的反常标度行为
Anomalous scaling behavior in Takens-Bogdanov bifurcations
摘要：
本文提出了一种估计线性动力学显著非正态（即{ \em Takens-Bogdanov}型亚临界分岔）系统亚临界转变非线性不稳定阈值$σ_c$的通用算法。以$N$维退化节点为例进行了分析。然后将预测与数值研究进行比较，结果非常一致。
英文摘要：
A general algorithm is presented for estimating the nonlinear instability threshold, $σ_c$, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em Takens-Bogdanov} type). The $N$-dimensional degenerate node is presented as an example. The predictions are then compared to numerical studies with excellent agreement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
