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- W2000884969 abstract "We describe the time evolution of the discrete dynamical system consisting of the iterates of the Arnold cat map F(x, y) = (x + y mod 1, x + 2y mod 1), 0⩽x, y < 1, defined on prime lattices Lp = {(j/p, k/p)| 0⩽j, k<p} where p is prime. We show that on Lp for p a prime, p ≠ 5, all orbits (except the fixed point (0, 0)) have a common period. The form of this common period is determined. A discrete first integral (constant of motion) is given and used to determine the relationship between orbits as well as the orbit decomposition." @default.
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- W2000884969 date "1994-06-01" @default.
- W2000884969 modified "2023-09-27" @default.
- W2000884969 title "The Arnold cat map on prime lattices" @default.
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- W2000884969 doi "https://doi.org/10.1016/0167-2789(94)90105-8" @default.
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