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Existence and persistence of invariant manifolds for semiflows in Banach space / Peter W. Bates, Kening Lu, Chongchun Zeng.

Math/Physics/Astronomy Library QA3 .A57 no.645
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LIBRA QA3 .A57 no.1-no.154, no.156-no.228, no.230-no.236, no.238-no.289, no.291-no.312, no.314-no.334, no.336-no.338
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Math/Physics/Astronomy Library QA3 .A57 no.313 (1984),no.335 (1985),no.339 (1986)-no.599 (1997) no.605 (1997)-no.860 (2006),no.865 (2006)-no.1243 (2019),no.1252 (2019)-no.1286 (2020),no.1288 (2020)-no.1385 (2022),no.1392 (2023)-no.1548 (2025),no.1554 (2025)-no.1608 (2025)
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Format:
Book
Author/Creator:
Bates, Peter W., 1947-
Contributor:
Lu, Kening, 1962-
Zeng, Chongchun, 1973-
Series:
Memoirs of the American Mathematical Society 0065-9266 ; no. 645.
Memoirs of the American Mathematical Society, 0065-9266 ; no. 645
Language:
English
Subjects (All):
Differentiable dynamical systems.
Hyperbolic spaces.
Invariants.
Flows (Differentiable dynamical systems).
Physical Description:
viii, 129 pages : illustrations ; 26 cm.
Place of Publication:
Providence, R.I. : American Mathematical Society, 1998.
Contents:
Section 2. Notation and Preliminaries 11
Section 3. Statements of Theorems 17
Section 4. Local Coordinate Systems 20
Section 5. Cone Lemmas 29
Section 6. Center-Unstable Manifold 38
Section 7. Center-Stable Manifold 59
Section 8. Smoothness of Center-Stable Manifold 70
Section 9. Smoothness of Center-Unstable Manifold 91
Section 10. Persistence of Invariant Manifold 95
Section 11. Persistence of Normal Hyperbolicity 99
Section 12. Invariant Manifolds for Perturbed Semiflow 119.
Notes:
"September 1998, volume 135, number 645 (end of volume)".
Includes bibliographical references (pages 125-129).
ISBN:
0821808680
OCLC:
39189960

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