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Unfoldings and Bifurcations of QuasiPeriodic Tori
Available Formats:
Electronic ISBN: 9781470408442
Product Code: MEMO/83/421.E
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $17.40
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Unfoldings and Bifurcations of QuasiPeriodic Tori
Available Formats:
Electronic ISBN:  9781470408442 
Product Code:  MEMO/83/421.E 
List Price:  $29.00 
MAA Member Price:  $26.10 
AMS Member Price:  $17.40 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 83; 1990; 175 ppMSC: Primary 58; 34; Secondary 70;

Table of Contents

Chapters

Part I. Unfoldings of quasiperiodic 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 quasiperiodic 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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 Table of Contents

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Volume: 83; 1990; 175 pp
MSC: Primary 58; 34; Secondary 70;

Chapters

Part I. Unfoldings of quasiperiodic 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 quasiperiodic 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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