Publicación: EXPANSIVE MEASURES FOR FLOWS
Fecha
2014
Título de la revista
ISSN de la revista
Título del volumen
Editor
JOURNAL OF DIFFERENTIAL EQUATIONS
Resumen
WE EXTEND THE CONCEPT OF EXPANSIVE MEASURE [2] FROM HOMEOMORPHISM TO FLOWS. WE PROVE FOR CONTINUOUS FLOWS ON COMPACT SPACES THAT EVERY EXPANSIVE MEASURE HAS NO SINGULARITIES IN THE SUPPORT, IS APERIODIC, IS EXPANSIVE WITH RESPECT TO TIME-T MAPS (BUT NOT CONVERSELY), REMAINS EXPANSIVE UNDER TOPOLOGICAL EQUIVALENCE, VANISHES ALONG THE ORBITS AND IS NATURAL UNDER SUSPENSIONS. WE APPLY THESE PROPERTIES TO PROVE THAT THERE ARE NO EXPANSIVE FLOWS (IN THE SENSE OF [26]) OF ANY CLOSED SURFACE.
Descripción
Palabras clave
METRIC SPACE, EXPANSIVE MEASURE, EXPANSIVE FLOW
