This paper studies of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, as the strength of the coupling tends to its infimum. For this purpose, we apply geometric singular perturbation theory.
Submitted October 10, 2017. Published January 31, 2018.
Math Subject Classifications: 34C37, 34C45, 34C14, 35J61.
Key Words: Geometric singular perturbation theory; heteroclinic connection; hamiltonian system; Bose-Einstein condensate; phase separation.
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| Christos Sourdis |
Department of Mathematics
University of Ioannina
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