Anomalous scaling behavior in Takens-Bogdanov bifurcations
Classical Physics
2009-10-31 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
A general algorithm is presented for estimating the nonlinear instability threshold, , for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em Takens-Bogdanov} type). The -dimensional degenerate node is presented as an example. The predictions are then compared to numerical studies with excellent agreement.
Cite
@article{arxiv.physics/9802053,
title = {Anomalous scaling behavior in Takens-Bogdanov bifurcations},
author = {E. R. Tracy and X. Z. Tang},
journal= {arXiv preprint arXiv:physics/9802053},
year = {2009}
}
Comments
6 pages