Dynamics in infinite dimensions
Author(s)
Bibliographic Information
Dynamics in infinite dimensions
（Applied mathematical sciences, v. 47）
Springer, c2002
2nd ed
- Other Title
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An introduction to infinite dimensional dynamical systems--geometric theory
Available at / 38 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:514.74/H1332070571753
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Note
Rev. ed of: An introduction to infinite dimensional dynamical systems--geometric theory, c1984
Includes bibliographical references (p. [267]-276) and index
Description and Table of Contents
Description
State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications
Table of Contents
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: Conley Index Theory in Noncompact Spaces
by "Nielsen BookData"