Physics – Classical Physics
Scientific paper
1998-02-27
Physics
Classical Physics
6 pages
Scientific paper
10.1016/S0375-9601(98)00200-X
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.
Tang Xian-Zhu
Tracy Eugene R.
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