A geometric approach to invariant sets for dynamical systems
In this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also impleme...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/18/m1/abstr.html |
| _version_ | 1811277911710236672 |
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| author | David Medina Pablo Padilla |
| author_facet | David Medina Pablo Padilla |
| author_sort | David Medina |
| collection | DOAJ |
| description | In this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also implement this approach numerically by means of the steepest descent method. |
| first_indexed | 2024-04-13T00:25:17Z |
| format | Article |
| id | doaj.art-12effe428ba945ff82ecdb367172db97 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T00:25:17Z |
| publishDate | 2010-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-12effe428ba945ff82ecdb367172db972022-12-22T03:10:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-07-012010184556A geometric approach to invariant sets for dynamical systemsDavid MedinaPablo PadillaIn this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also implement this approach numerically by means of the steepest descent method.http://ejde.math.txstate.edu/conf-proc/18/m1/abstr.htmlInvariant setsdynamical systemsarea functionalsteepest descent method |
| spellingShingle | David Medina Pablo Padilla A geometric approach to invariant sets for dynamical systems Electronic Journal of Differential Equations Invariant sets dynamical systems area functional steepest descent method |
| title | A geometric approach to invariant sets for dynamical systems |
| title_full | A geometric approach to invariant sets for dynamical systems |
| title_fullStr | A geometric approach to invariant sets for dynamical systems |
| title_full_unstemmed | A geometric approach to invariant sets for dynamical systems |
| title_short | A geometric approach to invariant sets for dynamical systems |
| title_sort | geometric approach to invariant sets for dynamical systems |
| topic | Invariant sets dynamical systems area functional steepest descent method |
| url | http://ejde.math.txstate.edu/conf-proc/18/m1/abstr.html |
| work_keys_str_mv | AT davidmedina ageometricapproachtoinvariantsetsfordynamicalsystems AT pablopadilla ageometricapproachtoinvariantsetsfordynamicalsystems AT davidmedina geometricapproachtoinvariantsetsfordynamicalsystems AT pablopadilla geometricapproachtoinvariantsetsfordynamicalsystems |