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Chaotic diffusion on periodic orbits: The perturbed Arnold cat map

Chaotic diffusion on periodic orbits: The perturbed Arnold cat map

Chaotic diffusion on periodic orbits (POs) is studied for the perturbed Arnold cat map on a cylinder, in a range of perturbation parameters corresponding to an extended structural-stability regime of the system on the torus. The diffusion coefficient is calculated, using the following PO formulas: (1) the curvature expansion of …