Dynamics in infinite dimensions

• 作者: Hale, Jack K.,
• 其他作者: Magalhães, Luis T., , Oliva, Waldyr M., , Hale, Jack K.
• 出版: New York : Springer 2002.
• 版本: Second edition.
• 稽核項: 1 online resource (x, 292 pages).
• 叢書名: Applied mathematical sciences ;47
• 標題: MATHEMATICS Pre-Calculus. , Pre-Calculus. , Reference. , Electronic books. , Differentiable dynamical systems. , Mathematics. , MATHEMATICS Essays. , MATHEMATICS , Essays. , MATHEMATICS Reference.
• ISBN: 1280009713 , 9781280009716
• ISBN: 0387954635
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• 附註: Revised edition of: Introduction to infinite dimensional dynamical system--geometric theory. ©1984. Includes bibliographical references and index. Preface -- Introduction -- Invariant Sets and Attractors -- Functional Differential Equations on Manifolds -- The Dimension of the Attractor -- Stability and Bifurcation -- Stability of Morse-Smale Maps and Semiflows -- One-to-oneness, Persistence and Hyperbolicity -- Realization of Vector Fields and Normal Forms -- Attractor Sets as C1-Manifolds -- Monotonicity -- The Kupka-Smale Theorem -- Appendix A: Conley Index Theory in Noncompact Spaces -- References -- Index.
• 摘要: This book presents aspects of a geometric theory of infinite dimensional spaces with major emphasis on retarded functional differential equations. It contains results on Morse-Smale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms.
• 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=99643
• 系統號: 005309560
• 資料類型: 電子書
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• 引用網址: 複製連結
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