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

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(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. (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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