Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501778 | Journal of Differential Equations | 2005 | 32 Pages |
Abstract
In this paper we introduce the pseudo-normal form, which generalizes the notion of normal form around an equilibrium. Its convergence is proved for a general analytic system in a neighborhood of a saddle-center or a saddle-focus equilibrium point. If the system is Hamiltonian or reversible, this pseudo-normal form coincides with the Birkhoff normal form, so we present a new proof in these celebrated cases. From the convergence of the pseudo-normal form for a general analytic system several dynamical consequences are derived, like the existence of local invariant objects.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Amadeu Delshams, J. Tomás Lázaro,