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Unfoldings and Bifurcations of Quasi-Periodic Tori

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Electronic ISBN: 978-1-4704-0844-2
Product Code: MEMO/83/421.E
List Price: $29.00 MAA Member Price:$26.10
AMS Member Price: $17.40 Click above image for expanded view Unfoldings and Bifurcations of Quasi-Periodic Tori Available Formats:  Electronic ISBN: 978-1-4704-0844-2 Product Code: MEMO/83/421.E  List Price:$29.00 MAA Member Price: $26.10 AMS Member Price:$17.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 831990; 175 pp
MSC: Primary 58; 34; Secondary 70;

• 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)
• 1. Introduction
• 2. A higher order normal form theory
• 3. The bifurcation models
• 4. Applications
• 5. Proof of the Saddle–Node Stability Theorem
• Appendix
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Volume: 831990; 175 pp
MSC: Primary 58; 34; Secondary 70;
• 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)
• 1. Introduction
• 2. A higher order normal form theory
• 3. The bifurcation models
• 4. Applications
• 5. Proof of the Saddle–Node Stability Theorem
• Appendix
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