NORMAL FORMS, SYMMETRY AND LINEARIZATION OF DYNAMICAL-SYSTEMS

Authors
BAMBUSI D CICOGNA G GAETA G MARMO G
Citation
D. Bambusi et al., NORMAL FORMS, SYMMETRY AND LINEARIZATION OF DYNAMICAL-SYSTEMS, Journal of physics. A, mathematical and general, 31(22), 1998, pp. 5065-5082
Citations number
36
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
22
Year of publication
1998
Pages
5065 - 5082
Database
ISI
SICI code
0305-4470(1998)31:22<5065:NFSALO>2.0.ZU;2-#
Abstract
We discuss how the presence of a suitable symmetry can guarantee the p erturbative linearizability of a dynamical system-or a parameter-depen dent family-via the Poincare normal form approach. We discuss this for mally at first, and later pay attention to the convergence of the line arizing procedure. We also discuss some generalizations of our main re sult.