Complex Behavior in Coupled Nonlinear Waveguides


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 ($0^2i\omega$) bifurcations.

Nov 1, 2016 2:00 PM
Institute for Mathematics and Applications
University of Minnesota, Minneapolis, MN
Roy Goodman
Roy Goodman
Associate Professor, Associate Chair for Graduate Studies, Department of Mathematical Sciences

My research interests include dynamical systems and nonlinear waves, vortex dynamics, quantum graphs, and network inference