Anomalous scaling behavior in Takens-Bogdanov bifurcations
Tracy, E. R. ; Tang, X. Z.
arXiv, 9802053 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-02-27
Classification:  Physics - Classical Physics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{9802053,
     author = {Tracy, E. R. and Tang, X. Z.},
     title = {Anomalous scaling behavior in Takens-Bogdanov bifurcations},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802053}
}

Tracy, E. R.; Tang, X. Z. Anomalous scaling behavior in Takens-Bogdanov bifurcations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802053/