Anomalous scaling behavior in Takens-Bogdanov bifurcations
Abstract
A general algorithm is presented for estimating the nonlinear instability threshold, σc, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of Takens-Bogdanov type). The N-dimensional degenerate node is presented as an example. The predictions are then compared to numerical studies with excellent agreement.
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