Complex Behavior in Coupled Nonlinear Waveguides

Tuesday, November 1, 2016 - 2:00pm - 2:50pm
Keller 3-180
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 consider the relative periodic orbits that occur due to some bifurcations in this system, including Hamiltonian Hopf bifurcations and saddle-node ($0^2 i \omega$) bifurcations.