BCAM Seminar Long time dynamics near the symmetry breaking bifurcation point for Nonlinear Schrödinger
Data: Az, Ots 4 2009
Lekua: University of Bonn
Hizlariak: Jeremy MARZUOLA
Long time dynamics near the symmetry breaking bifurcation point for Nonlinear Schrödinger/Gross-Pitaevskii Equations
With Michael Weinstein, we show long time stability of specific oscillatory solutions to an inhomogeneous nonlinear Schrödinger equation with a double well potential. The solutions arerelated to classical orbits from a finite dimension system of ODE's.
In particular, we show the oscillations persist in the infinite dimensional system over several periods in an asymptotic setting.
With Michael Weinstein, we show long time stability of specific oscillatory solutions to an inhomogeneous nonlinear Schrödinger equation with a double well potential. The solutions arerelated to classical orbits from a finite dimension system of ODE's.
In particular, we show the oscillations persist in the infinite dimensional system over several periods in an asymptotic setting.