Anomalous scaling behavior in Takens-Bogdanov bifurcations

Abstract

A general algorithm is presented for estimating the nonlinear instability threshold, ${\sigma }_c$, 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.

arXiv comment6 pages

Cited by in corpus (1)

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