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

Autor: Bruno Cordani
Editora: New York, NY : Birkhäuser, ©2013.
Séries: Progress in mathematical physics, v.64.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Formato Físico Adicional: Print version:
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Bruno Cordani
ISBN: 9780817683702 0817683704 0817683690 9780817683696 9781283909921 1283909928
Número OCLC: 812453211
Descrição: 1 online resource.
Conteúdos: 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.
Título da Série: Progress in mathematical physics, v.64.
Responsabilidade: Bruno Cordani.

Resumo:

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  Ler mais...

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