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OverviewThis 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. Full Product DetailsAuthor: Bruno CordaniPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2013 ed. Volume: 64 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 5.329kg ISBN: 9781493900442ISBN 10: 1493900447 Pages: 334 Publication Date: 15 October 2014 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Undergraduate Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface.- List of Figures.- 1 Introductory Survey.- 2 Analytical Mechanics and Integrable Systems.- 3 Perturbation Theory.- 4 Numerical Tools I: ODE Integration.- 5 Numerical Tools II: Detecting Order, Chaos, and Resonances.- 6 The Kepler Problem.- 7 The KEPLER Program.- 8 Some Perturbed Keplerian Systems.- 9 The Multi-Body Gravitational Problem.- Bibliography.- Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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