Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples

＜図書＞
Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples

責任表示	Heinz Hanßmann
シリーズ	Lecture notes in mathematics ; 1893
データ種別	図書
出版情報	Berlin : Springer , c2007
本文言語	英語
大きさ	xv, 237 p. : ill. ; 24 cm
概要	Once, 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 fo...m 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. Book jacket.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6949581

一般注記	Includes bibliographical references (p. [219]-233) and index
著者標目	*Hanssmann, Heinz
件　名	LCSH:Hamiltonian systems LCSH:Bifurcation theory
分　類	LCC:QA614.83 DC22:515.39
書誌ID	1001240296
ISBN	354038894X
NCID	BA78787057
URL
巻冊次	ISBN:354038894X ; XISBN:9783540388944
登録日	2009.09.18
更新日	2017.02.18