Três resultados de sistemas dinâmicos em dimensões baixas

Abstract

This work contains three independent results that can be framed within the research area named low-dimensional dynamics. The first result is a lower bound for the maximal number of inseparable leaves of non-singular polynomial foliations of the plane. The second consists in a new class of counter-examples to the Real Jacobian Conjecture. The third is a switched server system with a Cantor attractor.