A Hamiltonian Flows Associated with Two Dimensional Map

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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4 pages

Scientific paper

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.

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