On the global structure of invariant regions of flows with asymptotically stable attractors
| dc.contributor.author | Giraldo, A. | |
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T17:01:54Z | |
| dc.date.available | 2023-06-20T17:01:54Z | |
| dc.date.issued | 1999 | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16879 | |
| dc.identifier.doi | 10.1007/PL00004781 | |
| dc.identifier.issn | 0025-5874 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/cept6432a88c12fh/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57656 | |
| dc.issue.number | 4 | |
| dc.journal.title | Mathematische Zeitschrift | |
| dc.language.iso | eng | |
| dc.page.final | 746 | |
| dc.page.initial | 739 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Shape theory | |
| dc.subject.keyword | Topological dynamics | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On the global structure of invariant regions of flows with asymptotically stable attractors | |
| dc.type | journal article | |
| dc.volume.number | 232 | |
| dcterms.references | N.P.Bhatia.: Attraction and nonsaddle sets in dynamical systems. J. Differential Equations 8, 229–249 (1970) N.P.Bhatia, A.Lazer and G.P.Szego.: On global weak attractors in dynamical systems. J. Math. Anal. Appl. 16, 544–552 (1966) N.P.Bhatia and G.P.Szego.: Stability theory of dynamical systems (Grundlehren der Math. Wiss. 161) Springer-Verlag, Berlin, 1970. S.A.Bogatyi and V.I.Gutsu.: On the structure of attracting compacta. Differentsial’nye Uravneniya 25, 907–909 (1989) (in russian) K.Borsuk.: Theory of Retracts (Monografie Matematyczne 44) Polish Scientific Publishers, Warszawa, 1967. K.Borsuk.: On movable compacta. Fund. Math. 66, 137–146 (1969) K.Borsuk.: Theory of shape (Monografie Matematyczne 59) Polish Scientific Publishers, Warszawa, 1975. J.M.Cordier and T.Porter.: Shape theory. Categorical methods of approximation (Ellis Horwood Series: Mathematics and its Applications) Ellis Horwood Ltd, Chichester, 1989. Dydak and J.Segal.: Shape theory: An introduction (Lecture Notes in Math. 688) Springer-Verlag, Berlin, 1978. B.M.Garay.: Strong cellularity and global asymptotic stability. Fund. Math. 138, 147–154 (1991) B.Gunther and J.Segal.: Every attractor of a flow on a manifold has the shape of a finite polyhedron. Proc. Amer. Math. Soc. 119, 321–329 (1993) H.M.Hastings.: Shape theory and dynamical systems, in: N.G.Markley andW.Perizzo.: The structure of attractors in dynamical systems, (Lecture Notes in Math., vol. 668) Springer-Verlag, Berlin, 1978, pp. 150–160. S.T.Hu.: Theory of Retracts. Wayne State University Press, Detroit, 1967. S.Mardesic and J.Segal.: Shape theory. North Holland, Amsterdam, 1982. J.Milnor.: On the concept of Attractor. Commun. Math. Phys. 99, 177–195 (1985) J.W.Robbin and D.Salamon.: Dynamical systems, shape theory and the Conley index. Ergod. Th. & Dynam. Sys. 8 , 375–393 (1988) J.T.Rogers, Jr.: The shape of a cross-section of the solution funnel of an ordinary differential equation. Illinois J. Math. 21, 420–426 (1977) J.M.R.Sanjurjo.: Selections of multivalued maps and shape domination. Math. Proc. Cambridge Philos. Soc. 107, 493–499 (1990) J.M.R.Sanjurjo.: An intrinsic description of shape. Trans. Amer. Math. Soc. 329, 625–636 (1992) J.M.R.Sanjurjo.: Multihomotopy, Cech spaces of loops and shape groups. Proc. London Math. Soc. (3) 69, 330–344 (1994) J.M.R.Sanjurjo.: On the structure of uniform attractors. Journal of Math. Anal. Appl. 192, 519–528 (1995) P.Saperstone.: Semidynamical systems in infinite dimensional spaces (Applied Math. Sciences 37) Springer-Verlag, Berlin, 1981. P.Saperstone and M.Nishihama.: Continuity of the limit set maps in semidynamical systems. J. Differential Equations 23, 183–199 (1977) C.Tezer.: Shift equivalence in homotopy. Math. Z. 210, 197–201 (1992) J.Van Mill.: Infinite-dimensional topology. North Holland, Amsterdam, 1989. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f54f1d9d-37e9-4c15-9d97-e34a6343e575 | |
| relation.isAuthorOfPublication.latestForDiscovery | f54f1d9d-37e9-4c15-9d97-e34a6343e575 |
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