Browsing Revista Colombiana de Matemáticas by Author "Osuna, Osvaldo"
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On the limit cycles of quasihomogeneous polynomial systems
González-Ramírez, L. Rocío; Osuna, Osvaldo; Santaella-Forero, RubénIn this work, the nonexistence of limit cycles for classes of p - q-quasi-homogeneous polynomial planar systems of weighted degree l is established. Furthermore, we rule out the existence of limits cycles for certain ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. -
Rigidity of the stable norm on tori
Osuna, OsvaldoGiven a closed, orientable Riemannian manifold, we study the stable norm on the real homology groups. In particular, for $n\geq 2$ we prove that a Riemannian $n$-torus, which has the same stable norms as a flat $n$-torus ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.