Hamiltonian stability on open surfaces

ByEdmilson Santos

Hamiltonian stability on open surfaces

Roland Rabanal

Abstract:

We extend to open surfaces with simple singularities the theorem proposed by Xavier Jarque and Zbigniew Nitecki for Hamiltonian flows in the plane that are structurally stable among Hamiltonian flows. We describe the Hamiltonian dynamics on open surfaces by presenting characterization theorems for Hamiltonian stability and some natural consequences.

About the author

Edmilson Santos administrator