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Complex Hamiltonian Dynamics
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Springer Series in Synergetics,
10 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-27305-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220114101540.0 | ||
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| 100 | 1 | |a Bountis, Tassos. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Complex Hamiltonian Dynamics |h [electronic resource] / |c by Tassos Bountis, Haris Skokos. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2012. | |
| 300 | |a XXIV, 256 p. |b online resource. | ||
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| 490 | 1 | |a Springer Series in Synergetics, |x 2198-333X ; |v 10 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Mechanics. | |
| 650 | 1 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Applied Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical Applications in Computer Science. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 700 | 1 | |a Skokos, Haris. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642273063 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642440748 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642273049 |
| 830 | 0 | |a Springer Series in Synergetics, |x 2198-333X ; |v 10 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-27305-6 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||