Thursday, November 4, 2010

Periodic orbits and density of first Poincaré returns inside of some chaotic attractor

Paulo Pinto
(Universidade do Porto)

Abstract: In this work we show how the periodic orbits can be related with the density function of the first Poincaré returns in a particular class of discrete dynamical systems. Possible generalization of the result will be discussed. The close relation between periodic orbits and first Poincaré returns allows for estimates of relevant quantities, as the Kolmogorov-Sinai entropy, in term of this density.

Thursday, November 4, 2010
Time: 15h00
Room: Anfiteatro 4, Edificio Quelhas, ISEG