symmetry-breaking bifurcations

Wednesday, November 2, 2016 - 11:30am - 12:20pm
Dmitry Pelinovsky (McMaster University)
Standing waves in the focusing nonlinear Schrodinger (NLS) equation are considered on a dumbbell graph (two rings attached to a central line segment subject to the Kirchhoff boundary conditions at the junctions). In the small-norm limit, the ground state (the orbitally stable standing wave of the smallest energy at a fixed $L^2$ norm) is represented by a constant solution.
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