Chaos, breathers and the geometry of phase space for a DNLS lattice
Physics Department, University of Crete and
Foundation for Research and Technology-Hellas,
P.O. Box 2208, 71003 Heraklion, Crete, Greece
We look at the structure of the phase space of a breather solution in a DNLS
lattice using both annalytic (averaging) and numeric (Poincare map) methods.
We relate this structure to the nature of the breather. In particular we
investigate the role of resonant periodic orbits. Regarding the resonant
hyperbolic periodic orbits we investigate the effect caused by the
tangle/nontangle of the stable/unstable manifolds.