Exponentially small spitting of invariant manifolds of parabolic points:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
Am. Math. Soc.
2004
|
| Series: | Memoirs of the American Mathematical Society
792 = 167,2 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 83 S. |
| ISBN: | 0821834452 |
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| adam_text | A/TEMOIRS JLVA OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 792
EXPONENTIALLY SMALL SPLITTING OF INVARIANT MANIFOLDS OF PARABOLIC POINTS
INMACULADA BALDOMA ERNEST FONTICH JANUARY 2004 * VOLUME 167 * NUMBER 792
(SECOND OF 5 NUMBERS) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY
PROVIDENCE, RHODE ISLAND CONTENTS INTRODUCTION VII 1. NOTATION AND MAIN
RESULTS 1 1.1. NOTATION AND HYPOTHESES 1 1.2. MAIN RESULTS 3 1.3.
EXAMPLE 5 2. ANALYTIC PROPERTIES OF THE HOMOCLINIC ORBIT OF THE
UNPERTURBED SYSTEM 7 2.1. INTRODUCTION AND MAIN RESULTS 7 2.2. PROOF OF
PROPOSITION 2.1 10 3. PARAMETERIZATION OF LOCAL INVARIANT MANIFOLDS 15
3.1. INTRODUCTION 15 3.2. DEFINITIONS AND MAIN RESULT 15 3.3. AVERAGING
OF THE EQUATION 17 3.4. ESTIMATES FOR THE POINCARE MAP 23 3.5. THE
OPERATORS B AND B 30 3.6. PROOF OF THEOREM 3.1 32 4. FLOW BOX
COORDINATES 37 4.1. INTRODUCTION 37 4.2. DEFINITIONS AND MAIN RESULT 38
4.3. A PRELIMINARY CHANGE OF VARIABLES 40 4.4. THE UNPERTURBED CASE 41
4.5. FLOW BOX COORDINATES IN A COMPLEX DOMAIN 42 4.6. PROOF OF THEOREM
4.2 59 5. THE EXTENSION THEOREM 63 6. SPLITTING OF SEPARATRICES 65 6.1.
INTRODUCTION 65 6.2. THE SPLITTING FUNCTION 66 6.3. PROOF OF THEOREM 1.1
AND ITS COROLLARY 73 6.4. PROOF OF LEMMA 6.4 75 6.5. PROOF OF COROLLARY
1.1 80 REFERENCES 82
|
| any_adam_object | 1 |
| author | Baldomá, Inmaculada Fontich, Ernest |
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| spelling | Baldomá, Inmaculada Verfasser aut Exponentially small spitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich Providence, RI Am. Math. Soc. 2004 X, 83 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 792 = 167,2 Fontich, Ernest Verfasser aut American Mathematical Society Memoirs of the American Mathematical Society 792 (DE-604)BV008000141 792 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019976344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baldomá, Inmaculada Fontich, Ernest Exponentially small spitting of invariant manifolds of parabolic points |
| title | Exponentially small spitting of invariant manifolds of parabolic points |
| title_auth | Exponentially small spitting of invariant manifolds of parabolic points |
| title_exact_search | Exponentially small spitting of invariant manifolds of parabolic points |
| title_full | Exponentially small spitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_fullStr | Exponentially small spitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_full_unstemmed | Exponentially small spitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_short | Exponentially small spitting of invariant manifolds of parabolic points |
| title_sort | exponentially small spitting of invariant manifolds of parabolic points |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019976344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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