Complex Hamiltonian Dynamics. 1st ed. 2012

種類:

電子ブック

責任表示:

by Tassos Bountis, Haris Skokos

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012

著者名:

• Bountis, Tassos.
• Skokos, Haris.
• SpringerLink (Online service)

シリーズ名:

Springer Series in Synergetics ; 10

ISBN:

9783642273056 [364227305X]    

注記:

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) rese

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