Experiments looking for theoretical predictions

Some models have global properties, discovered by means of massive simulations, which occur for parameter values which seem hard to predict. We consider three simple cases: (a) non-integrable 2D symplectic maps with separatrix splitting such that the related standard-like maps contain a periodic function far from a sinusoidal-like shape; (b) standard-like maps driven in a quasiperiodic way. In both cases one wants to study up to which values of the parameters there exist invariant curves/tori implying the existence of confined dynamics. The case (c) deals with 2D dissipative systems and looks for the existence of “thick” attractors, with dimension close to 2.