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

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

Creator
Summary
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
Language
eng
Work
Publication
Extent
1 online resource
Contents
  • The Multi-Body Gravitational Problem
  • Final Remarks and Perspectives
  • 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
Isbn
9781283909921
Instance
Label
Geography of order and chaos in mechanics : investigations of quasi-integrable systems with analytical, numerical, and graphical tools
Title
Geography of order and chaos in mechanics
Title remainder
investigations of quasi-integrable systems with analytical, numerical, and graphical tools
Statement of responsibility
Bruno Cordani
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Cordani, Bruno
Dewey number
530.15
Index
index present
LC call number
QC21.3
LC item number
.C67 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Progress in mathematical physics
Series volume
v. 64
http://library.link/vocab/subjectName
  • Mathematical physics
  • Differential equations
  • SCIENCE
  • SCIENCE
  • SCIENCE
  • Differential equations
  • Mathematical physics
Label
Geography of order and chaos in mechanics : investigations of quasi-integrable systems with analytical, numerical, and graphical tools, Bruno Cordani
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • The Multi-Body Gravitational Problem
  • Final Remarks and Perspectives
  • 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
Control code
812453211
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781283909921
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
422242
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)812453211
Label
Geography of order and chaos in mechanics : investigations of quasi-integrable systems with analytical, numerical, and graphical tools, Bruno Cordani
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • The Multi-Body Gravitational Problem
  • Final Remarks and Perspectives
  • 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
Control code
812453211
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781283909921
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
422242
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)812453211

Subject

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