An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop
| ISSN: |
1432-1467
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
Physics
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| Notes: |
Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798295736017747968 |
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| autor | Shashkov, M. V. Turaev, D. V. |
| autorsonst | Shashkov, M. V. Turaev, D. V. |
| book_url | http://dx.doi.org/10.1007/s003329900078 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM207318360 |
| issn | 1432-1467 |
| journal_name | Journal of nonlinear science |
| materialart | 1 |
| notes | Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems. |
| package_name | Springer |
| publikationsjahr_anzeige | 1999 |
| publikationsjahr_facette | 1999 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1999 |
| publisher | Springer |
| reference | 9 (1999), S. 525-573 |
| search_space | articles |
| shingle_author_1 | Shashkov, M. V. Turaev, D. V. |
| shingle_author_2 | Shashkov, M. V. Turaev, D. V. |
| shingle_author_3 | Shashkov, M. V. Turaev, D. V. |
| shingle_author_4 | Shashkov, M. V. Turaev, D. V. |
| shingle_catch_all_1 | Shashkov, M. V. Turaev, D. V. An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems. 1432-1467 14321467 Springer |
| shingle_catch_all_2 | Shashkov, M. V. Turaev, D. V. An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems. 1432-1467 14321467 Springer |
| shingle_catch_all_3 | Shashkov, M. V. Turaev, D. V. An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems. 1432-1467 14321467 Springer |
| shingle_catch_all_4 | Shashkov, M. V. Turaev, D. V. An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop Summary. In this paper we give a proof of the existence of smooth nonlocal center manifolds for systems close to a system with a homoclinic orbit to a saddle-type equilibrium point. Our proof is based on a consideration of some class of the boundary value problems (see Section 3). We obtain estimates for solutions of the boundary value problems that allow us to prove the theorem on the center manifolds at the C 1 -assumptions for the smoothness of systems. 1432-1467 14321467 Springer |
| shingle_title_1 | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| shingle_title_2 | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| shingle_title_3 | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| shingle_title_4 | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:40:56.337Z |
| titel | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| titel_suche | An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop |
| topic | SA-SP U |
| uid | nat_lic_papers_NLM207318360 |