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Unfoldings and Bifurcations of Quasi-Periodic Tori

Available Formats:
Electronic ISBN: 978-1-4704-0844-2
Product Code: MEMO/83/421.E
175 pp
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $17.40

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Unfoldings and Bifurcations of Quasi-Periodic Tori
Available Formats:
Electronic ISBN: | 978-1-4704-0844-2 |
Product Code: | MEMO/83/421.E |
175 pp |
List Price: | $29.00 |
MAA Member Price: | $26.10 |
AMS Member Price: | $17.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 83; 1990MSC: Primary 58; 34; Secondary 70;
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Table of Contents
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Chapters
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Part I. Unfoldings of quasi-periodic tori (by H. W. Broer, G. B. Huitema and F. Takens)
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1. Introduction
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2. Preliminaries
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3. The integrable case
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4. The nearly integrable case in the general (dissipative) context
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5. The nearly integrable cases in the volume preserving and the symplectic ($m$ = $n$) contexts
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6. The nearly integrable case in the general symplectic context
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7. Applications—Related results
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8. Proof of the main result
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Part II. Toward a quasi-periodic bifurcation theory (by B. L. J. Braaksma, H. W. Broer and G. B. Huitema)
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1. Introduction
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2. A higher order normal form theory
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3. The bifurcation models
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4. Applications
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5. Proof of the Saddle–Node Stability Theorem
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Appendix
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- Book Details
- Table of Contents
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- Request Review Copy
- Get Permissions
-
Chapters
-
Part I. Unfoldings of quasi-periodic tori (by H. W. Broer, G. B. Huitema and F. Takens)
-
1. Introduction
-
2. Preliminaries
-
3. The integrable case
-
4. The nearly integrable case in the general (dissipative) context
-
5. The nearly integrable cases in the volume preserving and the symplectic ($m$ = $n$) contexts
-
6. The nearly integrable case in the general symplectic context
-
7. Applications—Related results
-
8. Proof of the main result
-
Part II. Toward a quasi-periodic bifurcation theory (by B. L. J. Braaksma, H. W. Broer and G. B. Huitema)
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1. Introduction
-
2. A higher order normal form theory
-
3. The bifurcation models
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4. Applications
-
5. Proof of the Saddle–Node Stability Theorem
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Appendix
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