Chaos near resonance

＜図書＞
Chaos near resonance

責任表示	G. Haller
シリーズ	Applied mathematical sciences ; 138
データ種別	図書
出版情報	New York ; Tokyo : Springer , c1999
本文言語	英語
大きさ	xvi, 427 p. : ill. ; 25 cm
概要	A unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, the book develops a general fin...te dimensional theory of homoclinic jumping, illustrating it with examples. The main mechanism of chaos near resonances is discussed in both the dissipative and the Hamiltonian context, incorporating previously unpublished new results on universal homoclinic bifurcations near resonances, as well as on multi-pulse Silnikov manifolds. The results are applied to a variety of different problems, which include applications from beam oscillations, surface wave dynamics, nonlinear optics, atmospheric science and fluid mechanics. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6870048

一般注記	Includes bibliographical references (p. [401]-420) and indexes
著者標目	*Haller, György
件　名	LCSH:Chaotic behavior in systems LCSH:Resonance -- Mathematics 全ての件名で検索
分　類	LCC:Q172.5.C45 DC21:003/.857
書誌ID	1000927142
ISBN	0387986979
NCID	BA43744772
巻冊次	ISBN:0387986979
登録日	2009.09.16
更新日	2009.11.02