Hyperbolicity versus weak periodic orbits inside homoclinic classes
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2016.122
Abstract: We prove that, for $C^{1}$ -generic diffeomorphisms, if the periodic orbits contained in a homoclinic class $H(p)$ have all their Lyapunov exponents bounded away from zero, then $H(p)$ must be (uniformly) hyperbolic. This is in… read more here.
Keywords: weak periodic; inside homoclinic; homoclinic class; periodic orbits ... See more keywords