Porcupine-like Horseshoes : Transitivity , Lyapunov Spectrum , and Phase Transitions

@inproceedings{Daz2010PorcupinelikeH,
  title={Porcupine-like Horseshoes : Transitivity , Lyapunov Spectrum , and Phase Transitions},
  author={L J D{\'i}az and Katrin Gelfert},
  year={2010}
}
We study a partially hyperbolic and topologically transitive local diffeomorphism F that is a skew-product over a horseshoe map. This system is derived from a homoclinic class and contains infinitely many hyperbolic periodic points of different indices and hence is not hyperbolic. The associated transitive invariant set Λ possesses a very rich fiber… CONTINUE READING