Canonical Perturbation Theories

Degenerate Systems and Resonance

AvSylvio Ferraz-Mello

Inbunden, Engelska, 2007

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Beskrivning

The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.

Produktinformation

Utgivningsdatum:2007-01-16
Mått:155 x 235 x 23 mm
Vikt:624 g
Format:Inbunden
Språk:Engelska
Serie:Astrophysics and Space Science Library
Antal sidor:346
Upplaga:2007
Förlag:Springer-Verlag New York Inc.
ISBN:9780387389004

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "The book consists of 10 chapters and four appendices. ... Undoubtedly, the monograph will be useful for postgraduate students." (Sergei Georgievich Zhuravlev, Zentralblatt MATH, Vol. 1122 (24), 2007) "The book by Sylvio Ferraz-Mello provides a deep insight in perturbation theories. ... the mathematical presentation of the different facets is always accompanied by a number of case studies and examples. Such peculiarity makes the book unique ... . Thanks to the ... author, the book is recommended for both teaching and research purposes: the didactical and self-contained aspects address the book to advanced undergraduate students; the researchers in Dynamical Systems and Celestial Mechanics will certainly enjoy the excellent and deep presentation of perturbation theories." (Alessandra Celletti, Celestial Mechanics and Dynamical Astronomy, Vol. 100 (4), 2008) "The purpose of this book is ... 'to deal with the perturbation theories used in Celestial Mechanics, but they should be presented in a universal way, so as to be understandable by investigators and students from related fields of science.' In other words, one does not need a special background in astronomy to read and understand the book. ... a large number of the examples will be of interest to people working in Hamiltonian theory. ... a valuable source of material on conservative systems." (Ferdinand Verhulst, SIAM Review, Vol. 50 (2), 2008)

Innehållsförteckning

The Hamilton-Jacobi Theory.- Angle-Action Variables. Separable Systems.- Classical Perturbation Theories.- Resonance.- Lie Mappings.- Lie Series Perturbation Theory.- Non-Singular Canonical Variables.- Lie Series Theory for Resonant Systems.- Single Resonance near a Singularity.- Nonlinear Oscillators.