Variational and penalization methods for studying connecting orbits of Hamiltonian systems
In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria. Applying penalization methods, we obtain various patterns for mul...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2000-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/57/abstr.html |
| _version_ | 1819137544773697536 |
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| author | Chao-Nien Chen Shyuh-yaur Tzeng |
| author_facet | Chao-Nien Chen Shyuh-yaur Tzeng |
| author_sort | Chao-Nien Chen |
| collection | DOAJ |
| description | In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria. Applying penalization methods, we obtain various patterns for multibump homoclinics and heteroclinics of Hamiltonian systems. |
| first_indexed | 2024-12-22T10:52:34Z |
| format | Article |
| id | doaj.art-e00d37bbc70b4ae2bb7042bb09caec52 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T10:52:34Z |
| publishDate | 2000-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e00d37bbc70b4ae2bb7042bb09caec522022-12-21T18:28:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-08-01200057121Variational and penalization methods for studying connecting orbits of Hamiltonian systemsChao-Nien ChenShyuh-yaur TzengIn this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria. Applying penalization methods, we obtain various patterns for multibump homoclinics and heteroclinics of Hamiltonian systems.http://ejde.math.txstate.edu/Volumes/2000/57/abstr.htmlHamiltonian systemhomoclinicheterocliniccalculus of variations. |
| spellingShingle | Chao-Nien Chen Shyuh-yaur Tzeng Variational and penalization methods for studying connecting orbits of Hamiltonian systems Electronic Journal of Differential Equations Hamiltonian system homoclinic heteroclinic calculus of variations. |
| title | Variational and penalization methods for studying connecting orbits of Hamiltonian systems |
| title_full | Variational and penalization methods for studying connecting orbits of Hamiltonian systems |
| title_fullStr | Variational and penalization methods for studying connecting orbits of Hamiltonian systems |
| title_full_unstemmed | Variational and penalization methods for studying connecting orbits of Hamiltonian systems |
| title_short | Variational and penalization methods for studying connecting orbits of Hamiltonian systems |
| title_sort | variational and penalization methods for studying connecting orbits of hamiltonian systems |
| topic | Hamiltonian system homoclinic heteroclinic calculus of variations. |
| url | http://ejde.math.txstate.edu/Volumes/2000/57/abstr.html |
| work_keys_str_mv | AT chaonienchen variationalandpenalizationmethodsforstudyingconnectingorbitsofhamiltoniansystems AT shyuhyaurtzeng variationalandpenalizationmethodsforstudyingconnectingorbitsofhamiltoniansystems |