Stability at infinity and Hurwitz vector fields [ Back ]

Date:
17.06.13   
Times:
15:30 to 16:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Roland Rabanal
University:
Pontificia Universidad Católica del Perú (PUCP-Peru)

Abstract:

We present some spectral conditions in order to describe the phase portrait of a planar vector field, in a neighborhood of infinity. Suppose that X is a planar vector field whose linearization outside some compact set is Hurwitz: it admits to the origin as a linear hyperbolic attractor. Then by adding to X a constant vector, one obtains that the infinity is either an attractor or a repellor.