Chaos, breathers and the geometry of phase space for a DNLS lattice

James Stirling

Physics Department, University of Crete and Foundation for Research and Technology-Hellas,
P.O. Box 2208, 71003 Heraklion, Crete, Greece

Abstract: 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.