Haggar, F.A.; Byrnes, G.B.; Quispel, G.R.W.; Capel, H.W. - In: Physica A: Statistical Mechanics and its Applications 233 (1996) 1, pp. 379-394
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...