Exponentially small splitting of invariant manifolds of parabolic points:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2004
|
| Series: | Memoirs of the American Mathematical Society
792 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 167, number 792 (second of 5 numbers)." |
| Physical Description: | X, 83 S. graph. Darst. |
| ISBN: | 0821834452 |
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| 100 | 1 | |a Baldomá, Inmaculada |d 1971- |e Verfasser |0 (DE-588)114650618X |4 aut | |
| 245 | 1 | 0 | |a Exponentially small splitting of invariant manifolds of parabolic points |c Inmaculada Baldomá ; Ernest Fontich |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2004 | |
| 300 | |a X, 83 S. |b graph. Darst. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 792 | |
| 500 | |a "Volume 167, number 792 (second of 5 numbers)." | ||
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Hamiltonianen |2 gtt | |
| 650 | 7 | |a Lagrange functies |2 gtt | |
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| 650 | 4 | |a Lagrangian points | |
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Record in the Search Index
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| adam_text | 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
V
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| any_adam_object | 1 |
| author | Baldomá, Inmaculada 1971- |
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| ctrlnum | (OCoLC)53019698 (DE-599)BVBBV017536823 |
| dewey-full | 515/.39 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.39 510 |
| dewey-search | 515/.39 510 |
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| id | DE-604.BV017536823 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:19:05Z |
| institution | BVB |
| isbn | 0821834452 |
| language | English |
| lccn | 2003061939 |
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| physical | X, 83 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Baldomá, Inmaculada 1971- Verfasser (DE-588)114650618X aut Exponentially small splitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich Providence, RI American Mathematical Society 2004 X, 83 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 792 "Volume 167, number 792 (second of 5 numbers)." Dynamische systemen gtt Hamiltonianen gtt Lagrange functies gtt Sistemas hamiltonianos larpcal Teoria assintotica (equações diferenciais parciais) larpcal Teoria qualitativa larpcal Hamiltonian systems Lagrangian points Nonholonomic dynamical systems Nichtholonome Bedingung (DE-588)4171735-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Nichtholonome Bedingung (DE-588)4171735-1 s Hamiltonsches System (DE-588)4139943-2 s b DE-604 Fontich, Ernest 1955- Sonstige (DE-588)1146506198 oth Memoirs of the American Mathematical Society 792 (DE-604)BV008000141 792 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557177&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baldomá, Inmaculada 1971- Exponentially small splitting of invariant manifolds of parabolic points Memoirs of the American Mathematical Society Dynamische systemen gtt Hamiltonianen gtt Lagrange functies gtt Sistemas hamiltonianos larpcal Teoria assintotica (equações diferenciais parciais) larpcal Teoria qualitativa larpcal Hamiltonian systems Lagrangian points Nonholonomic dynamical systems Nichtholonome Bedingung (DE-588)4171735-1 gnd Dynamisches System (DE-588)4013396-5 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| subject_GND | (DE-588)4171735-1 (DE-588)4013396-5 (DE-588)4139943-2 |
| title | Exponentially small splitting of invariant manifolds of parabolic points |
| title_auth | Exponentially small splitting of invariant manifolds of parabolic points |
| title_exact_search | Exponentially small splitting of invariant manifolds of parabolic points |
| title_full | Exponentially small splitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_fullStr | Exponentially small splitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_full_unstemmed | Exponentially small splitting of invariant manifolds of parabolic points Inmaculada Baldomá ; Ernest Fontich |
| title_short | Exponentially small splitting of invariant manifolds of parabolic points |
| title_sort | exponentially small splitting of invariant manifolds of parabolic points |
| topic | Dynamische systemen gtt Hamiltonianen gtt Lagrange functies gtt Sistemas hamiltonianos larpcal Teoria assintotica (equações diferenciais parciais) larpcal Teoria qualitativa larpcal Hamiltonian systems Lagrangian points Nonholonomic dynamical systems Nichtholonome Bedingung (DE-588)4171735-1 gnd Dynamisches System (DE-588)4013396-5 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| topic_facet | Dynamische systemen Hamiltonianen Lagrange functies Sistemas hamiltonianos Teoria assintotica (equações diferenciais parciais) Teoria qualitativa Hamiltonian systems Lagrangian points Nonholonomic dynamical systems Nichtholonome Bedingung Dynamisches System Hamiltonsches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557177&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT baldomainmaculada exponentiallysmallsplittingofinvariantmanifoldsofparabolicpoints AT fontichernest exponentiallysmallsplittingofinvariantmanifoldsofparabolicpoints |