Experiments looking for theoretical predictions Carles Sim\'o Slides of a talk given at the conference on Dynamics and Geometry held in the Lorenz International Center, Leiden, June 15 to June 19, 2015 Abstract One of the goals of Dynamical Systems is to understand the behavior of the orbits. To this end one needs to have information on the skeleton: fixed points, periodic orbits, invariant curves/tori, invariant manifolds of hyperbolic objects (perhaps partially or weakly hyperbolic) and their relative position. Changes, changing parameters, are produced at bifurcations: a) Local: They require the analysis around a given point/points. b) Semiglobal: Require the analysis around an orbit or simple family of orbits, like breakdown of a given curve/torus, splitting, homo/hetero tangencies}. c) Global: We do not know around which orbit they occur like breakdown of all invariant curves/tori or of all invariant tori with strong stickiness. Our goal: to present a few examples in this direction. The challenge is to be able to predict for which parameter value they occur.