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Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1893)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- Cantor
- Invariant
- KAM Theory
- dynamical systems
- multiparameter bifurcation
- proof
- ramified torus bundle
- symmetry reduction
- theorem
- versal unfolding
- ordinary differential equations
Reviews
From the reviews:
"This book deals with bifurcations of invariant tori in Hamiltonian systems, in particular in near-integrable systems. … The book closes with a series of appendices, in which technical or more fundamental details are summarised … . This well-written monograph represents a welcome contribution to the literature in this field—I am not aware of a similarly comprehensive and systematic treatment of bifurcations of invariant tori. I recommend the book to any researchers or graduate students working in this field." (Thomas Wagenknecht, Mathematical Reviews, Issue 2008 a)
Authors and Affiliations
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Mathematisch Instituut, Universiteit Utrecht, TA Utrecht, The Netherlands
Heinz Hanβmann
Bibliographic Information
Book Title: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
Book Subtitle: Results and Examples
Authors: Heinz Hanβmann
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/3-540-38894-X
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-38894-4Published: 05 October 2006
eBook ISBN: 978-3-540-38896-8Published: 18 October 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 242
Number of Illustrations: 22 b/w illustrations
Topics: Dynamical Systems, Differential Equations, Global Analysis and Analysis on Manifolds, Theoretical, Mathematical and Computational Physics