4 papers
A topological characterization of the omega-limit sets of analytic vector fields on open subsets of the sphere
José Ginés Espín Buendía, Víctor Jiménez López
In [15], V. Jimenez and J. Llibre characterized, up to homeomorphism, the omega limit sets of analytic vector fields on the sphere and the projective plane. The authors also studie…
A topological classification of plane polynomial systems having a globally attracting singular point
José Ginés Espín Buendía, Víctor Jiménez López
In this paper, plane polynomial systems having a singular point attracting all orbits in positive time are classified up to topological equivalence. This is done by assigning a com…
On the Markus-Neumann theorem
José Ginés Espín Buendía, Víctor Jiménez Lopéz
A well-known result by L. Markus, later extended by D. A. Neumann, states that two continuous flows on a surface are equivalent if and only if there is a surface homeomorphism pres…
Existence of minimal flows on nonorientable surfaces
J. G. Espín Buendía, D. Peralta-Salas, G. Soler López
Surfaces admitting flows all whose orbits are dense are called minimal. Minimal orientable surfaces were characterized by J.C. Benière in 1998, leaving open the nonorientable case.…