A Hamiltonian Flows Associated with Two Dimensional Map

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

Cited by in corpus (2)

• Nambu-Hamiltonian flows associated with discrete maps
• Hyper-elliptic Nambu flow associated with integrable maps