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

Author: Bruno Cordani
Publisher: New York, NY : Birkhäuser, ©2013.
Series: Progress in mathematical physics, v.64.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bruno Cordani
ISBN: 9780817683702 0817683704
OCLC Number: 812453211
Description: 1 online resource.
Contents: 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.
Series Title: Progress in mathematical physics, v.64.
Responsibility: Bruno Cordani.

Abstract:

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  Read more...

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