Nambu-Hamiltonian flows associated with discrete maps
Satoru Saito, Akira Shudo, Jun-ichi Yamamoto, Katsuhiko Yoshida
Abstract
For a differentiable map (x1,x2,..., xn) (X1,X2,..., Xn) that has an inverse, we show that there exists a Nambu-Hamiltonian flow in which one of the initial value, say xn, of the map plays the role of time variable while the others remain fixed. We present various examples which exhibit the map-flow correspondence.
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