Isochronous families of limit cycles
In this article we present a method for determining if the frequency of a family of periodic orbits remains constant when a parameter changes. Two-dimensional systems of ordinary and delayed differential equations are considered. Several examples are given.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/117/abstr.html |
| _version_ | 1828280788319207424 |
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| author | Romina Cobiaga Walter Reartes |
| author_facet | Romina Cobiaga Walter Reartes |
| author_sort | Romina Cobiaga |
| collection | DOAJ |
| description | In this article we present a method for determining if the frequency
of a family of periodic orbits remains constant when a parameter changes.
Two-dimensional systems of ordinary and delayed differential equations
are considered. Several examples are given. |
| first_indexed | 2024-04-13T08:03:25Z |
| format | Article |
| id | doaj.art-5adabc8924ba483e82140babfaed18f8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T08:03:25Z |
| publishDate | 2018-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5adabc8924ba483e82140babfaed18f82022-12-22T02:55:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-05-012018117,116Isochronous families of limit cyclesRomina Cobiaga0Walter Reartes1 Univ. Nacional del Sur, Buenos Aires, Argentina Univ. Nacional del Sur, Buenos Aires, Argentina In this article we present a method for determining if the frequency of a family of periodic orbits remains constant when a parameter changes. Two-dimensional systems of ordinary and delayed differential equations are considered. Several examples are given.http://ejde.math.txstate.edu/Volumes/2018/117/abstr.htmlLimit cycleisochronous orbitdelay differential equation |
| spellingShingle | Romina Cobiaga Walter Reartes Isochronous families of limit cycles Electronic Journal of Differential Equations Limit cycle isochronous orbit delay differential equation |
| title | Isochronous families of limit cycles |
| title_full | Isochronous families of limit cycles |
| title_fullStr | Isochronous families of limit cycles |
| title_full_unstemmed | Isochronous families of limit cycles |
| title_short | Isochronous families of limit cycles |
| title_sort | isochronous families of limit cycles |
| topic | Limit cycle isochronous orbit delay differential equation |
| url | http://ejde.math.txstate.edu/Volumes/2018/117/abstr.html |
| work_keys_str_mv | AT rominacobiaga isochronousfamiliesoflimitcycles AT walterreartes isochronousfamiliesoflimitcycles |