By Tassos Bountis,Haris Skokos
This ebook introduces and explores glossy advancements within the good demonstrated box of Hamiltonian dynamical platforms. It specializes in excessive degree-of-freedom structures and the transitional regimes among general and chaotic movement. The function of nonlinear common modes is highlighted and the significance of low-dimensional tori within the answer of the well-known FPU paradox is emphasised. Novel strong numerical equipment are used to check localization phenomena and distinguish order from strongly and weakly chaotic regimes. The rising hierarchy of complicated constructions in such regimes supplies upward push to rather long-lived styles and phenomena known as quasi-stationary states, that are explored specifically within the concrete surroundings of one-dimensional Hamiltonian lattices and actual functions in condensed topic systems.
The self-contained and pedagogical process is mixed with a different stability among mathematical rigor, physics insights and urban functions. finish of bankruptcy routines and (more difficult) examine orientated difficulties supply many possibilities to deepen the reader’s insights into particular points of the topic matter.
Addressing a huge viewers of graduate scholars, theoretical physicists and utilized mathematicians, this article combines some great benefits of a reference paintings with these of a self-study advisor for rookies to the field.
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