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A geometrical method towards first integrals for dynamical systems

Simon Labrunie·Robert Conte
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Abstract

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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Simon Labrunie, Robert Conte. 1996-08-20. A geometrical method towards first integrals for dynamical systems. https://doi.org/10.1063/1.531772

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