Jeroen S.W. Lamb:

Area-preserving dynamics that is not reversible

Abstract:

In this paper we address some global dynamical features 
in area-preserving dynamical systems on the plane $\Real^2$, which obstruct 
the presence of a time-reversal symmetry that is a reflection. 
We show that in the case of flows, reversibility and non-reversibility are
non-generic properties. In the case of maps we show that reversibility is a
non-generic property by constructing an example of a persistently
non-reversible area-preserving map.