Hypernormal form calculation for triple-zero degeneracies

Authors
Gamero, E Freire, E Rodriguez-Luis, AJ Ponce, E Algaba, A
Citation
E. Gamero et al., Hypernormal form calculation for triple-zero degeneracies, B BELG MATH, 6(3), 1999, pp. 357-368
Citations number
11
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
ISSN journal
13701444 → ACNP
Volume
6
Issue
3
Year of publication
1999
Pages
357 - 368
Database
ISI
SICI code
1370-1444(199907/09)6:3<357:HFCFTD>2.0.ZU;2-9
Abstract
A computational approach to obtain normal forms for equilibrium points of t hree-dimensional autonomous systems, having a linear degeneracy correspondi ng to a triple-zero eigenvalue, is presented. Also, we provide the explicit expressions for the normal form coefficients, and analyze some additional simplifications that can be achieved. The results are applied in the analysis of bifurcation behaviours in an aut onomous electronic oscillator.