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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)

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Management number 233567296 Release Date 2026/06/27 List Price $19.18 Model Number 233567296
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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. Read more

ISBN10 1493900447
ISBN13 978-1493900442
Edition 2013th
Language English
Publisher Birkhäuser
Dimensions 6.1 x 0.8 x 9.25 inches
Item Weight 1.09 pounds
Print length 352 pages
Part of series Progress in Mathematical Physics
Publication date October 15, 2014

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