Tangências homoclínicas, entropia e medidas de SRB / Homoclinic tangencies, entropy and SRB measure
AUTOR(ES)
Marcus Augusto Bronzi
DATA DE PUBLICAÇÃO
2010
RESUMO
We study the effect of a homoclinic tangency in the variation of the topological entropy. We prove that a diffeomorphism with a homoclinic tangency associated to a basic hyperbolic set with maximal entropy is a point of entropy variation in the C POT THE INFINITEtopology. We also discuss variational problem in C POT.1topology and we show an example of discontinuity of the entropy in dimension three. A result due to Newhouse states that a generic surface diffeomorphism with a homoclinic set containing a tangency associated to a dissipative periodic point, can not have SRB (Sinai-Ruelle-Bowen) measures supported on the homoclinic set. We generalize this result to higher dimensions, in the case where the homoclinic tangency is associated to a sectionally dissipative saddle
ASSUNTO(S)
tangência homoclínica entropia entropy and srb measure homoclinic tangency medida de srb
