A geometrical method towards first integrals for dynamical systems
Journal Article
·
· Journal of Mathematical Physics
- Service de physique de l`etat condense, CEA Saclay, 91191 Gif-sur-Yvette Cedex (France)
We develop a method, based on Darboux{close_quote}s and Liouville{close_quote}s works, to find first integrals and/or invariant manifolds for a physically relevant class of dynamical systems, without making any assumption on these elements{close_quote} forms. We apply it to three dynamical systems: Lotka{endash}Volterra, Lorenz and Rikitake. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 397461
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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