Bifurcations of Long-Lived (near) Relative Periodic Orbits in Coupled Nonlinear Waveguides

Thursday, October 13, 2016 - 11:00am - 12:00pm
Lind 305
Roy Goodman (New Jersey Institute of Technology)
We consider the nonlinear propagation of light along an array of two or three coupled waveguides. The three waveguide system is known to support nine different stationary time-harmonic solutions. We apply a bag of tricks from Hamiltonian mechanics to understand non-trivial time-periodic solutions in which light moves periodically among the three wells and find a variety of bifurcations and other surprising behaviors.