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• W2169499447 abstract "We generalize the concept of symplectic maps to that of k- symplectic maps: maps whose kth iterates are symplectic. Similarly, k-symmetries and k-integrals are symmetries (resp. integrals) of the kth iterate of the map. It is shown that k-symmetries and k-integrals are related by the k-symplectic structure, as in the k = 1 continuous case (Noether's theorem). Examples are given of k-integrals and their related k-symmetries for k = 1,…,4." @default.
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• W2169499447 date "1996-11-01" @default.
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• W2169499447 title "k-integrals and k-Lie symmetries in discrete dynamical systems" @default.
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• W2169499447 doi "https://doi.org/10.1016/s0378-4371(96)00142-2" @default.
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