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Unfoldings and Bifurcations of Quasi-Periodic Tori
 
F Takens
H Broer
L Braaksma
G B Huitema
Front Cover for 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
Add to cart
Front Cover for Unfoldings and Bifurcations of Quasi-Periodic Tori
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Unfoldings and Bifurcations of Quasi-Periodic Tori
F Takens
H Broer
L Braaksma
G B Huitema
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
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 83; 1990
    MSC: Primary 58; 34; Secondary 70;
  • Table of Contents
     
     
    • 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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Memoirs of the American Mathematical Society
Volume: 83; 1990
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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