Sourdis, Christos2022-01-072022-01-072018-01-31Sourdis, C. (2018). Weak separation limit of a two-component Bose-Einstein condensate. <i>Electronic Journal of Differential Equations, 2018</i>(40), pp. 1-12.1072-6691https://hdl.handle.net/10877/15096This 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalGeometric singular perturbation theoryHeteroclinic connectionHamiltonian systemBose-Einstein condensatePhase separationArticle