The Resource Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani
Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani
Resource Information
The item Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This original monograph aims to explore the dynamics in the particular but very important and significant case of quasiintegrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systemsincluding for example the hydrogen atom or the solar system, with the associated Arnold webthrough modern tools such as the frequencymodified fourier transform, wavelets, and the frequencymodulation 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
 Extent
 1 online resource
 Contents

 The MultiBody 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
 Label
 Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools
 Title
 Geography of order and chaos in mechanics
 Title remainder
 investigations of quasiintegrable systems with analytical, numerical, and graphical tools
 Statement of responsibility
 Bruno Cordani
 Subject

 Differential equations
 Differential equations
 Differential equations
 Differential equations, partial.
 Global differential geometry.
 Mathematical Methods in Physics.
 Mathematical physics
 Mathematical physics
 Mathematical physics
 Mathematical physics.
 Mathematics.
 Nonlinear Dynamics.
 Numerical and Computational Physics.
 Partial Differential Equations.
 SCIENCE  Energy
 SCIENCE  Mechanics  General
 SCIENCE  Physics  General
 Differential Geometry.
 Language
 eng
 Summary
 This original monograph aims to explore the dynamics in the particular but very important and significant case of quasiintegrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systemsincluding for example the hydrogen atom or the solar system, with the associated Arnold webthrough modern tools such as the frequencymodified fourier transform, wavelets, and the frequencymodulation 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
 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 quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani
 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 MultiBody 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 quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani
 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 MultiBody 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
 Differential equations
 Differential equations
 Differential equations
 Differential equations, partial.
 Global differential geometry.
 Mathematical Methods in Physics.
 Mathematical physics
 Mathematical physics
 Mathematical physics
 Mathematical physics.
 Mathematics.
 Nonlinear Dynamics.
 Numerical and Computational Physics.
 Partial Differential Equations.
 SCIENCE  Energy
 SCIENCE  Mechanics  General
 SCIENCE  Physics  General
 Differential Geometry.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Geographyoforderandchaosinmechanics/29_et2ZEMcA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Geographyoforderandchaosinmechanics/29_et2ZEMcA/">Geography of order and chaos in mechanics : investigations of quasiintegrable systems with analytical, numerical, and graphical tools, Bruno Cordani</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>