EuDML | Browse

Displaying 21 – 26 of 26

Normal forms of vector fields on Poisson manifolds

Philippe Monnier, Nguyen Tien Zung (2006)

Annales mathématiques Blaise Pascal

We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.

Nouvelle preuve d’un théorème de Yuan et Hunt

Thierry Bousch (2008)

Bulletin de la Société Mathématique de France

Un théorème de Guo-Cheng Yuan Brian R. Hunt affirme que, pour $μ$ mesure de probabilité invariante d’un système dynamique hyperbolique $T : X \to X$ , les fonctions lipschitziennes $X \to ℝ$ pour lesquelles $μ$ est minimisante ont un intérieur non vide (en topologie de Lipschitz) si et seulement si $μ$ est une orbite périodique de $T$ . Je donnerai une nouvelle preuve de ce théorème, ou plutôt d’un énoncé essentiellement équivalent. Je discuterai aussi de la stabilité des orbites périodiques minimisantes de grande période.

Numerical integration of differential equations in the presence of first integrals: observer method

Eric Busvelle, Rachid Kharab, A. Maciejewski, Jean-Marie Strelcyn (1994)

Applicationes Mathematicae

We introduce a simple and powerful procedure-the observer method-in order to obtain a reliable method of numerical integration over an arbitrary long interval of time for systems of ordinary differential equations having first integrals. This aim is achieved by a modification of the original system such that the level manifold of the first integrals becomes a local attractor. We provide a theoretical justification of this procedure. We report many tests and examples dealing with a large spectrum...

Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map.

Tompaidis, Stathis (1996)

Experimental Mathematics

Displaying 21 – 26 of 26

Normal forms of vector fields on Poisson manifolds

Note on a local invertibility

Note on a Poincaré map

Nouvelle preuve d’un théorème de Yuan et Hunt

Numerical integration of differential equations in the presence of first integrals: observer method

Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map.

Currently displaying 21 – 26 of 26