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Averaging in Hamiltonian systems with slowly varying parameters

Tewfik Sari 1
1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The aim of this paper is to describe the general averaging principle and to discuss the particular case of single-frequency systems, the case of systems with constant frequencies and the case of Hamiltonian systems. We show how the stroboscopic method, which is a method of the nonstandard perturbation theory of differential equations, can be used in this kind of problems. We give various examples which illustrate the simplicity and the effectiveness of the method.
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https://hal.inria.fr/inria-00072214
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Submitted on : Tuesday, May 23, 2006 - 8:07:35 PM
Last modification on : Thursday, March 10, 2022 - 5:58:02 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:58:42 PM

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  • HAL Id : inria-00072214, version 1

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Tewfik Sari. Averaging in Hamiltonian systems with slowly varying parameters. RR-4374, INRIA. 2002. ⟨inria-00072214⟩

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