APPROXIMATE SYMMETRIES IN DYNAMICAL-SYSTEMS

Authors
CICOGNA G GAETA G
Citation
G. Cicogna et G. Gaeta, APPROXIMATE SYMMETRIES IN DYNAMICAL-SYSTEMS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 109(9), 1994, pp. 989-1008
Citations number
27
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
109
Issue
9
Year of publication
1994
Pages
989 - 1008
Database
ISI
SICI code
1124-1888(1994)109:9<989:ASID>2.0.ZU;2-6
Abstract
The knowledge of exact symmetries of a differential problem allows to reduce it, and sometimes to completely solve it; it also allows to obt ain exact solutions. If we are looking for approximate rather than exa ct solutions, then approximate symmetries are as good as exact ones; m oreover, they can be determined perturbatively. In this paper we intro duce and study approximate symmetries, together with some applications to the determination of approximate solutions of dynamical systems.