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Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools

Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools

Paperback

Series: Progress in Mathematical Physics, Book 64

General MathematicsGeneral ScienceGeometry

Currently unavailable to order

ISBN10: 1493900447
ISBN13: 9781493900442
Publisher: Birkhauser
Published: Oct 15 2014
Pages: 334
Weight: 1.09
Height: 0.73 Width: 6.10 Depth: 9.25
Language: English

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 the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems.

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General Mathematics