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OverviewOnce again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way. Full Product DetailsAuthor: Heinz HanßmannPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2007 ed. Volume: 1893 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783540388944ISBN 10: 354038894 Pages: 242 Publication Date: 05 October 2006 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsReviews"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)" 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) 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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