书目名称 | Complex Hamiltonian Dynamics |
编辑 | Tassos Bountis,Haris Skokos |
视频video | |
概述 | Introductory, self-contained and pedagogical presentation.Covers recent topics, e.g. one-dimensional Hamiltonian lattices, high degree-of-freedom Hamiltonian systems.Unique balance between mathematica |
丛书名称 | Springer Series in Synergetics |
图书封面 |  |
描述 | .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 stude |
出版日期 | Book 2012 |
关键词 | Hamiltonian Lattices; Hamiltonian Systems; Hamiltonian dynamical systems; Nonlinear Dynamics; Quasi-Stat |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-27305-6 |
isbn_softcover | 978-3-642-44074-8 |
isbn_ebook | 978-3-642-27305-6Series ISSN 0172-7389 Series E-ISSN 2198-333X |
issn_series | 0172-7389 |
copyright | Springer-Verlag Berlin Heidelberg 2012 |