IIMAS - FENOMEC
UNAM
Continuation and instabilities of breathers in a discrete NLS
Resumen:
We review some numerical and analytical
results on the continuation of breathers
in the cubic discrete NLS equation in finite one dimensional
lattices. Breathers can be viewed as fixed points in a
reduced system and we use some of the stability properties
of breathers to obtain information on
the topology of the energy hypersurface in a system of three sites.
The change to a connected energy hypersurface corresponds to
elliptic-hyperbolic breathers, and we study numerically
Lyapunov periodic orbits,
and their stable and unstable manifolds.
We see evidence of homoclinic orbits and we also discuss
heteroclinic orbits and the question of transport of energy.
Informes: coloquiomym@gmail.com, o al 5622-3564.