Sanjurjo, José M. R.Barge Yáñez, Héctor2023-06-222023-06-222023https://hdl.handle.net/20.500.14352/73101In 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.engjournal articleopen access515.122.4Shape indexBrouwer degreePoincaré-Hopf theoremNon-saddle setTopología1210 Topología