Diffusion limit for a slow-fast standard map

Alex Blumenthal, Jacopo De Simoi, Ke Zhang

Consider the map $(x,y)\mapsto (x+{\epsilon }^{-\alpha }\sin (2\pi x)+{\epsilon }^{-1-\alpha }z,z+\epsilon \sin (2\pi x))$, which is conjugate to the Chirikov standard map with a large parameter. The parameter value $…