The Resource Complex Hamiltonian Dynamics, by Tassos Bountis, Haris Skokos, (electronic resource)

Complex Hamiltonian Dynamics, by Tassos Bountis, Haris Skokos, (electronic resource)

Label
Complex Hamiltonian Dynamics
Title
Complex Hamiltonian Dynamics
Statement of responsibility
by Tassos Bountis, Haris Skokos
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the reader’s insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bountis, Tassos
Dewey number
  • 530.15
  • 530.15/636
  • 530.15636
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • L0I1LmX6-PI
  • a3b8LqF-PyE
Language note
English
LC call number
QC174.7-175.36
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Skokos, Haris.
Series statement
  • Springer complexity
  • Springer Series in Synergetics,
Series volume
10
http://library.link/vocab/subjectName
  • Engineering
  • Mathematics
  • Mathematical physics
  • Mechanics
  • Statistical physics
  • Complex Systems
  • Complexity
  • Information and Communication, Circuits
  • Mathematical Methods in Physics
  • Classical Mechanics
  • Statistical Physics and Dynamical Systems
Label
Complex Hamiltonian Dynamics, by Tassos Bountis, Haris Skokos, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Hamiltonian Systems of Few Degrees of Freedom -- Equilibrium Points, Periodic Orbits and Local Stability -- Efficient Indicators of Stable and Chaotic Motion -- FPU Recurrences and the Transition from Weak to Strong Chaos -- Localization and Diffusion in Nonlinear 1-Dimensional Lattices -- The Statistical Mechanics of Quasi-Stationary States -- Conclusion, Open Problems and Future Outlook
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (276 p.)
Form of item
online
Isbn
9781280861420
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-27305-6
Specific material designation
remote
System control number
  • (CKB)2670000000173973
  • (EBL)972706
  • (OCoLC)785823876
  • (SSID)ssj0000666002
  • (PQKBManifestationID)11955868
  • (PQKBTitleCode)TC0000666002
  • (PQKBWorkID)10646831
  • (PQKB)11575409
  • (DE-He213)978-3-642-27305-6
  • (MiAaPQ)EBC972706
  • (EXLCZ)992670000000173973
Label
Complex Hamiltonian Dynamics, by Tassos Bountis, Haris Skokos, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Hamiltonian Systems of Few Degrees of Freedom -- Equilibrium Points, Periodic Orbits and Local Stability -- Efficient Indicators of Stable and Chaotic Motion -- FPU Recurrences and the Transition from Weak to Strong Chaos -- Localization and Diffusion in Nonlinear 1-Dimensional Lattices -- The Statistical Mechanics of Quasi-Stationary States -- Conclusion, Open Problems and Future Outlook
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (276 p.)
Form of item
online
Isbn
9781280861420
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-27305-6
Specific material designation
remote
System control number
  • (CKB)2670000000173973
  • (EBL)972706
  • (OCoLC)785823876
  • (SSID)ssj0000666002
  • (PQKBManifestationID)11955868
  • (PQKBTitleCode)TC0000666002
  • (PQKBWorkID)10646831
  • (PQKB)11575409
  • (DE-He213)978-3-642-27305-6
  • (MiAaPQ)EBC972706
  • (EXLCZ)992670000000173973

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