Lie algebras, structure of nonlinear systems and chaotic motion

Authors
Banks, SP McCaffrey, D
Citation
Sp. Banks et D. Mccaffrey, Lie algebras, structure of nonlinear systems and chaotic motion, INT J B CH, 8(7), 1998, pp. 1437-1462
Citations number
14
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
8
Issue
7
Year of publication
1998
Pages
1437 - 1462
Database
ISI
SICI code
0218-1274(199807)8:7<1437:LASONS>2.0.ZU;2-#
Abstract
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decomposition and the solvable and semisimple parts of a certain Lie algebra associated with the system. An approximation theory i s developed and a new class of chaotic systems is introduced, based on the structure theory of Lie algebras.