Complex Hamiltonian Dynamics:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012
|
| Schriftenreihe: | Springer Series in Synergetics
10 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext |
| Beschreibung: | 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. 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. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642273056 |
| DOI: | 10.1007/978-3-642-27305-6 |
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| spelling | Complex Hamiltonian Dynamics by Tassos Bountis, Haris Skokos Berlin, Heidelberg Springer Berlin Heidelberg 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Series in Synergetics 10 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. 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. Ingenieurwissenschaften Mathematik Mathematische Physik Physics Mathematics Mathematical physics Mechanics Engineering Statistical Physics, Dynamical Systems and Complexity Complexity Information and Communication, Circuits Mathematical Methods in Physics Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Nichtlineare Dynamik (DE-588)4126141-0 s 1\p DE-604 Bountis, Tassos Sonstige oth Skokos, Haris Sonstige oth https://doi.org/10.1007/978-3-642-27305-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Complex Hamiltonian Dynamics Ingenieurwissenschaften Mathematik Mathematische Physik Physics Mathematics Mathematical physics Mechanics Engineering Statistical Physics, Dynamical Systems and Complexity Complexity Information and Communication, Circuits Mathematical Methods in Physics Hamiltonsches System (DE-588)4139943-2 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4126141-0 |
| title | Complex Hamiltonian Dynamics |
| title_auth | Complex Hamiltonian Dynamics |
| title_exact_search | Complex Hamiltonian Dynamics |
| title_full | Complex Hamiltonian Dynamics by Tassos Bountis, Haris Skokos |
| title_fullStr | Complex Hamiltonian Dynamics by Tassos Bountis, Haris Skokos |
| title_full_unstemmed | Complex Hamiltonian Dynamics by Tassos Bountis, Haris Skokos |
| title_short | Complex Hamiltonian Dynamics |
| title_sort | complex hamiltonian dynamics |
| topic | Ingenieurwissenschaften Mathematik Mathematische Physik Physics Mathematics Mathematical physics Mechanics Engineering Statistical Physics, Dynamical Systems and Complexity Complexity Information and Communication, Circuits Mathematical Methods in Physics Hamiltonsches System (DE-588)4139943-2 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| topic_facet | Ingenieurwissenschaften Mathematik Mathematische Physik Physics Mathematics Mathematical physics Mechanics Engineering Statistical Physics, Dynamical Systems and Complexity Complexity Information and Communication, Circuits Mathematical Methods in Physics Hamiltonsches System Nichtlineare Dynamik |
| url | https://doi.org/10.1007/978-3-642-27305-6 |
| work_keys_str_mv | AT bountistassos complexhamiltoniandynamics AT skokosharis complexhamiltoniandynamics |