Shape index, Brouwer degree and Poincaré-Hopf theorem
| dc.contributor.author | Sanjurjo, José M. R. | |
| dc.contributor.author | Barge Yáñez, Héctor | |
| dc.date.accessioned | 2023-06-22T12:43:39Z | |
| dc.date.available | 2023-06-22T12:43:39Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper we study the relationship of the Brouwer degree of a vector field with the dynamics of the induced flow. Analogous relations are studied for the index of a vector field. We obtain new forms of the Poincaré-Hopf theorem and of the Borsuk and Hirsch antipodal theorems. As an application, we calculate the Brouwer degree of the vector field of the Lorenz equations in isolating blocks of the Lorenz strange set. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades | |
| dc.description.status | unpub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/77082 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/73101 | |
| dc.language.iso | eng | |
| dc.relation.projectID | PID2021-126124NB-I00 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 515.122.4 | |
| dc.subject.keyword | Shape index | |
| dc.subject.keyword | Brouwer degree | |
| dc.subject.keyword | Poincaré-Hopf theorem | |
| dc.subject.keyword | Non-saddle set | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Shape index, Brouwer degree and Poincaré-Hopf theorem | |
| dc.type | journal article | |
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| dspace.entity.type | Publication |
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