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Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools (Progress in Mathematical Physics #64) (Hardcover)

Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools (Progress in Mathematical Physics #64) Cover Image
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Description


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.

Geography of Order and Chaos in Mechanics will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.

About the Author


Bruno Cordani wrote "The Kepler Problem" with Birkhauser in 2003.


Product Details
ISBN: 9780817683696
ISBN-10: 0817683690
Publisher: Birkhauser
Publication Date: September 17th, 2012
Pages: 334
Language: English
Series: Progress in Mathematical Physics