| dc.contributor.author | Graça, Daniel | |
| dc.contributor.author | Zhong, Ning | |
| dc.date.accessioned | 2012-04-13T08:46:44Z | |
| dc.date.available | 2012-04-13T08:46:44Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | In this note we investigate the problem of computing the domain of attraction of a ow on R2 for a given attractor. We consider an operator that takes two inputs, the description of the ow and a cover of the attractors, and outputs the domain of attraction for the given attractor. We show that: (i) if we consider only (structurally) stable systems, the operator is (strictly semi-)computable; (ii) if we allow all systems de ned by C1-functions, the operator is not (semi-)computable. We also address the problem of computing limit cycles on these systems. | por |
| dc.identifier.other | AUT: DGR01772; | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/1019 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | C. S. Calude, J. F. Costa, N. Dershowitz, E. Freire, and G. Rozenberg | por |
| dc.relation.ispartofseries | Lecture Notes in Computer Science;5715 | |
| dc.relation.publisherversion | http://www.springerlink.com/content/c37j8v3610j57311/ | por |
| dc.title | Computing domains of attraction for planar dynamics | por |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 190 | por |
| oaire.citation.startPage | 179 | por |
| oaire.citation.title | Proceedings of the 8th International Conference on Unconventional Computation (UC 2009) | por |
| person.familyName | Graça | |
| person.givenName | Daniel | |
| person.identifier.ciencia-id | 2D11-56DE-3F11 | |
| person.identifier.orcid | 0000-0002-0330-833X | |
| person.identifier.rid | D-2335-2011 | |
| person.identifier.scopus-author-id | 8882791800 | |
| rcaap.rights | openAccess | por |
| rcaap.type | bookPart | por |
| relation.isAuthorOfPublication | ba0c1461-5d2d-4f06-b648-df4a1a505bdf | |
| relation.isAuthorOfPublication.latestForDiscovery | ba0c1461-5d2d-4f06-b648-df4a1a505bdf |
