Question: (2) Consider any initial condition (x0,y0) for the cat map. Show that there exist infinitely many points (x,y) so that the distance between fk

(2) Consider any initial condition (x0,y0) for the cat map. Show that

(2) Consider any initial condition (x0,y0) for the cat map. Show that there exist infinitely many points (x,y) so that the distance between fk (x, y) and f (x0, y0) converges to 0 as k o. Show that nevertheless there is sensitive dependence on initial conditions.

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