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Geography of order and chaos in mechanics : investigations of quasi-integrable systems with analytical, numerical, and graphical tools

著者: Bruno Cordani
出版: New York, NY : Birkhäuser, ©2013.
シリーズ: Progress in mathematical physics, v.64.
エディション/フォーマット:   電子書籍 : Document : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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  続きを読む
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ジャンル/形式: Electronic books
資料の種類: Document, インターネット資料
ドキュメントの種類: インターネットリソース, コンピューターファイル
すべての著者/寄与者: Bruno Cordani
ISBN: 9780817683702 0817683704
OCLC No.: 812453211
物理形態: 1 online resource.
コンテンツ: Introductory Survey --
Analytical Mechanics and Integrable Systems --
Perturbation Theory --
Numerical Tools I: ODE Integration --
Numerical Tools II: Detecting Order, Chaos, and Resonances --
The Kepler Problem --
The KEPLER Program --
Some Perturbed Keplerian Systems --
The Multi-Body Gravitational Problem --
Final Remarks and Perspectives.
シリーズタイトル: Progress in mathematical physics, v.64.
責任者: Bruno Cordani.

概要:

This book explores the dynamics of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces, offering our solar system among its examples. Covers the frequency  続きを読む

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schema: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 contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph 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."
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