7 Answers votes newest views recent 3Hyperbolic sets 1Conley Theorem (or fundamental theorem of dynamical systems) 4Invariant measures and recurrent sets. 2The Manneville-Pomeau map is topologically conjugate to a full one-sides shift on two symbols. Can you give the corresponding homeomorphism? 0Supremum amongst Kolmogorov-Sinai entropies: ergodic or just invariant measures. 3Is there a dynamical system such that every orbit is either periodic or dense? 1Is the composition of non-wandering maps still non-wandering?