Bifurcations of Long-Lived (near) Relative Periodic Orbits in Coupled Nonlinear Waveguides
Thursday, October 13, 2016 - 11:00am - 12:00pm
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.