A geometrical method towards first integrals for dynamical systems

Details A geometrical method towards first integrals for dynamical systems A geometrical method towards first integrals for dynamical systems

1996-08-20

arxiv.org/abs/solv-int/9608007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, RevTeX with aps and prb styles

Scientific paper

10.1063/1.531772

We develop a method, based on Darboux' and Liouville'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' form. We
apply it to three dynamical systems: Lotka--Volterra, Lorenz and Rikitake.

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