HAMILTONIAN METHOD AND INVARIANT SEARCH FOR 2D QUADRATIC SYSTEMS

Citation
L. Cairo et al., HAMILTONIAN METHOD AND INVARIANT SEARCH FOR 2D QUADRATIC SYSTEMS, Journal of physics. A, mathematical and general, 26(17), 1993, pp. 4371-4386
Citations number
10
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
26
Issue
17
Year of publication
1993
Pages
4371 - 4386
Database
ISI
SICI code
0305-4470(1993)26:17<4371:HMAISF>2.0.ZU;2-Z
Abstract
The Hamiltonian formalism for a two-dimensional system of ODE possessi ng an invariant of the motion not containing the time explicitly has s uggested a method for the search of first integrals. Applied to the qu adratic system it leads to the finding of two phase space configuratio ns.