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Symmetries of discrete dynamical systems involving two species

✍ Scribed by Gómez-Ullate, D.; Lafortune, S.; Winternitz, P.

Book ID
120810653
Publisher
American Institute of Physics
Year
1999
Tongue
English
Weight
651 KB
Volume
40
Category
Article
ISSN
0022-2488

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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 str