- Series
- CDSNS Colloquium
- Time
- Wednesday, January 22, 2014 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Renato Calleja – IIMAS UNAM
- Organizer
- Rafael de la Llave
We present a numerical study of the dynamics of a state-dependent delay
equation with two state dependent delays that are linear in the state. In
particular, we study some of the the dynamical behavior driven by the
existence of two-parameter families of invariant tori. A formal normal form
analysis predicts the existence of torus bifurcations and the appearance of
a two parameter family of stable invariant tori. We investigate the
dynamics on the torus thought a Poincaré section. We find some boundaries
of Arnold tongues and indications of loss of normal hyperbolicity for this
stable family. This is joint work with A. R. Humphries and B. Krauskopf.