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Geography of order and chaos in mechanics : investigations of quasi-integrable systems with analytical, numerical, and graphical tools

Auteur : Bruno Cordani
Éditeur : New York, NY : Birkhäuser, ©2013.
Collection : Progress in mathematical physics, v.64.
Édition/format :   Livre électronique : Document : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems--including for example the hydrogen atom or the solar system, with the associated Arnold web--through modern tools such as  Lire la suite...
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Détails

Genre/forme : Electronic books
Type d’ouvrage : Document, Ressource Internet
Format : Ressource Internet, Fichier informatique
Tous les auteurs / collaborateurs : Bruno Cordani
ISBN : 9780817683702 0817683704
Numéro OCLC : 812453211
Description : 1 online resource.
Contenu : Introductory Survey --
Analytical Mechanics and Integrable Systems --
Perturbation Theory --
Numerical Tools I: ODE Integration --
Numerical Tools II: Detecting Order, Chaos, and Resonances --
The Kepler Problem --
The KEPLER Program --
Some Perturbed Keplerian Systems --
The Multi-Body Gravitational Problem --
Final Remarks and Perspectives.
Titre de collection : Progress in mathematical physics, v.64.
Responsabilité : Bruno Cordani.

Résumé :

This book explores the dynamics of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces, offering our solar system among its examples. Covers the frequency  Lire la suite...

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Données liées


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