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Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom

Authors:

Theirry Cazenave Alain Haraux Fred B Weissler

Institution:

1. Analyse Numérique, Université Pierre et Marie Curie, 4 place Jussieu, F-75252, Paris Cedex 05, France
2. Laboratoire Analyse Géométrie et Applications, Institut Galilée, Université Paris XIII, Avenue J-B Clément, F-93430, Villetanneuse, France

Abstract:

The system of ordinary differential equations

$\left\{ {\begin{array}{*{20}c} {u + u(1 + u^2 + \upsilon ^2 ) = 0} \\ {\upsilon + \upsilon (k + u^2 + \upsilon ^2 ) = 0} \\ \end{array} } \right.$

Keywords:	Completely integrable Hamiltonian systems asymptotically periodic solutions quasi-periodic solutions
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