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612-822-4611
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

Hardcover

Series: Progress in Mathematical Physics, Book 64

General MathematicsGeneral ScienceGeometry

Currently unavailable to order

ISBN10: 0817683690
ISBN13: 9780817683696
Publisher: Birkhauser
Published: Sep 17 2012
Pages: 334
Weight: 1.35
Height: 0.90 Width: 6.00 Depth: 9.20
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