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paper

A Hamiltonian Flows Associated with Two Dimensional Map

arXiv:nlin/0108018 · doi:10.1063/1.1503150

Abstract

For a given differentiable map $(x,y)\to (X(x,y),Y(x,y))$, which has an inverse, we show that there exists a Hamiltonian flow in which x plays the role of the time variable while y is fixed.

4 pages