Branches of Forced Oscillations Induced by a Delayed Periodic Force
We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-02-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2018-2028 |
| _version_ | 1798043397964955648 |
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| author | Calamai Alessandro Pera Maria Patrizia Spadini Marco |
| author_facet | Calamai Alessandro Pera Maria Patrizia Spadini Marco |
| author_sort | Calamai Alessandro |
| collection | DOAJ |
| description | We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field. |
| first_indexed | 2024-04-11T22:48:30Z |
| format | Article |
| id | doaj.art-e851a686c5fc4550a53ec7e6fc7a8580 |
| institution | Directory Open Access Journal |
| issn | 1536-1365 2169-0375 |
| language | English |
| last_indexed | 2024-04-11T22:48:30Z |
| publishDate | 2019-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-e851a686c5fc4550a53ec7e6fc7a85802022-12-22T03:58:39ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752019-02-0119114916310.1515/ans-2018-2028Branches of Forced Oscillations Induced by a Delayed Periodic ForceCalamai Alessandro0Pera Maria Patrizia1Spadini Marco2Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, Via Brecce Bianche, 60131Ancona, ItalyDipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, Via Santa Marta 3, 50139Firenze, ItalyDipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, Via Santa Marta 3, 50139Firenze, ItalyWe study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field.https://doi.org/10.1515/ans-2018-2028periodic solutionsforced motiondelay differential equationsmultiplicity of periodic solutionsforced motion on manifoldsdegree of a tangent vector field34k13 70k40 34c25 |
| spellingShingle | Calamai Alessandro Pera Maria Patrizia Spadini Marco Branches of Forced Oscillations Induced by a Delayed Periodic Force Advanced Nonlinear Studies periodic solutions forced motion delay differential equations multiplicity of periodic solutions forced motion on manifolds degree of a tangent vector field 34k13 70k40 34c25 |
| title | Branches of Forced Oscillations Induced by a Delayed Periodic Force |
| title_full | Branches of Forced Oscillations Induced by a Delayed Periodic Force |
| title_fullStr | Branches of Forced Oscillations Induced by a Delayed Periodic Force |
| title_full_unstemmed | Branches of Forced Oscillations Induced by a Delayed Periodic Force |
| title_short | Branches of Forced Oscillations Induced by a Delayed Periodic Force |
| title_sort | branches of forced oscillations induced by a delayed periodic force |
| topic | periodic solutions forced motion delay differential equations multiplicity of periodic solutions forced motion on manifolds degree of a tangent vector field 34k13 70k40 34c25 |
| url | https://doi.org/10.1515/ans-2018-2028 |
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