Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium
| Author | dc.contributor.author | Amster, Pablo | |
| Author | dc.contributor.author | Kuna, Mariel Paula | |
| Author | dc.contributor.author | Robledo Veloso, Gonzalo | |
| Admission date | dc.date.accessioned | 2019-10-22T03:11:13Z | |
| Available date | dc.date.available | 2019-10-22T03:11:13Z | |
| Publication date | dc.date.issued | 2019 | |
| Cita de ítem | dc.identifier.citation | Communications on Pure and Applied Analysis, Volumen 18, Issue 4, 2019, Pages 1695-1709 | |
| Identifier | dc.identifier.issn | 15535258 | |
| Identifier | dc.identifier.issn | 15340392 | |
| Identifier | dc.identifier.other | 10.3934/cpaa.2019080 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/171886 | |
| Abstract | dc.description.abstract | Small non-autonomous perturbations around an equilibrium of a nonlinear delayed system are studied. Under appropriate assumptions, it is shown that the number of T-periodic solutions lying inside a bounded domain Ω ⊂ R N is, generically, at least |χ ± 1| + 1, where χ denotes the Euler characteristic of Ω. Moreover, some connections between the associated fixed point operator and the Poincaré operator are explored. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | American Institute of Mathematical Sciences | |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| Source | dc.source | Communications on Pure and Applied Analysis | |
| Keywords | dc.subject | Delay differential systems | |
| Keywords | dc.subject | Fixed points | |
| Keywords | dc.subject | Multiple periodic solutions | |
| Keywords | dc.subject | Poincaré operator | |
| Keywords | dc.subject | Topological degree | |
| Título | dc.title | Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium | |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | laj | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile