ANOMALOUS SCALING BEHAVIOR IN TAKENS-BOGDANOV BIFURCATIONS

Authors
TRACY ER TANG XZ
Citation
Er. Tracy et Xz. Tang, ANOMALOUS SCALING BEHAVIOR IN TAKENS-BOGDANOV BIFURCATIONS, Physics letters. A, 242(4-5), 1998, pp. 239-244
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
242
Issue
4-5
Year of publication
1998
Pages
239 - 244
Database
ISI
SICI code
0375-9601(1998)242:4-5<239:ASBITB>2.0.ZU;2-V
Abstract
A general algorithm is presented for estimating the nonlinear instabil ity threshold, sigma(c), 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 no de is presented as an example. The predictions are then compared to nu merical studies with excellent agreement. (C) 1998 Elsevier Science B. V.