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Presented By: Department of Mathematics

Applied Interdisciplinary Mathematics

Complex dynamics 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 (0^2 i \omega) bifurcations. Speaker(s): Roy Goodman (New Jersey Institute of Technology)

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