RT Journal Article
T1 Shape index, Brouwer degree and Poincaré-Hopf theorem
A1 Sanjurjo, José M. R.
A1 Barge Yáñez, Héctor
AB 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.
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/73101
UL https://hdl.handle.net/20.500.14352/73101
LA eng
NO Ministerio de Ciencia, Innovación y Universidades
DS Docta Complutense
RD 10 abr 2025