By Tassos Bountis,Haris Skokos
This publication introduces and explores sleek advancements within the good demonstrated box of Hamiltonian dynamical structures. It makes a speciality of excessive degree-of-freedom platforms 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 solution of the recognized FPU paradox is emphasised. Novel strong numerical equipment are used to review localization phenomena and distinguish order from strongly and weakly chaotic regimes. The rising hierarchy of complicated buildings in such regimes provides upward push to fairly long-lived styles and phenomena known as quasi-stationary states, that are explored specifically within the concrete atmosphere of one-dimensional Hamiltonian lattices and actual purposes in condensed topic systems.
The self-contained and pedagogical strategy is mixed with a distinct stability among mathematical rigor, physics insights and urban functions. finish of bankruptcy routines and (more not easy) examine orientated difficulties offer many possibilities to deepen the reader’s insights into particular elements of the topic matter.
Addressing a wide 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 novices to the field.
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Additional info for Complex Hamiltonian Dynamics: 10 (Springer Series in Synergetics)
Complex Hamiltonian Dynamics: 10 (Springer Series in Synergetics) by Tassos Bountis,Haris Skokos