A CONSTANT OF MOTION IN 3D IMPLIES A LOCAL GENERALIZED HAMILTONIAN-STRUCTURE

Authors
HERNANDEZBERMEJO B FAIREN V
Citation
B. Hernandezbermejo et V. Fairen, A CONSTANT OF MOTION IN 3D IMPLIES A LOCAL GENERALIZED HAMILTONIAN-STRUCTURE, Physics letters. A, 234(1), 1997, pp. 35-40
Citations number
33
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
234
Issue
1
Year of publication
1997
Pages
35 - 40
Database
ISI
SICI code
0375-9601(1997)234:1<35:ACOMI3>2.0.ZU;2-X
Abstract
We demonstrate that a Poisson structure can always be associated to a general nonautonomous 3D vector field of ODEs by means of a diffeomorp hism that preserves both the orientation and the volume of phase-space . The only prerequisite is the existence of one constant of motion. (C ) 1997 Published by Elsevier Science B..V.