Geodesic
Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $\delta$' impurity
Nanosistemy: fizika, himiâ, matematika, Tome 2 (2011) no. 4, pp. 5-19

Voir la notice de l'article provenant de la source Math-Net.Ru

We illustrate some new results and comment on perspectives of a recent research line, focused on the stability of stationary states of nonlinear NLS with point interactions. We describe in detail the case of a "$\delta'$" interaction, that provides a rich model endowed with a pitchfork bifurcation with symmetry breaking in the family of ground states. Finally, we give a direct proof of the stability of the ground states in the cases of a subcritical and critical (in the sense of the blow-up) nonlinearity power.
Keywords: nonlinear dynamics, quantum mechanics, symmetry breaking, pitchfork bifurcation.
Mots-clés : solitons 
@article{NANO_2011_2_4_a0,
     author = {R. Adami and D. Noja},
     title = {Nonlinearity-defect interaction: symmetry breaking bifurcation in a {NLS} with a $\delta$' impurity},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {5--19},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2011_2_4_a0/}
}
TY  - JOUR
AU  - R. Adami
AU  - D. Noja
TI  - Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $\delta$' impurity
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2011
SP  - 5
EP  - 19
VL  - 2
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/NANO_2011_2_4_a0/
LA  - en
ID  - NANO_2011_2_4_a0
ER  - 
%0 Journal Article
%A R. Adami
%A D. Noja
%T Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $\delta$' impurity
%J Nanosistemy: fizika, himiâ, matematika
%D 2011
%P 5-19
%V 2
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/NANO_2011_2_4_a0/
%G en
%F NANO_2011_2_4_a0
R. Adami; D. Noja. Nonlinearity-defect interaction: symmetry breaking bifurcation in a NLS with a $\delta$' impurity. Nanosistemy: fizika, himiâ, matematika, Tome 2 (2011) no. 4, pp. 5-19. http://geodesic.mathdoc.fr/item/NANO_2011_2_4_a0/