Geodesic
Bifurcations of homogeneous cycle of generalized cubic Shrodinger equation in the triangle
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 50-54

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We consider the generalized cubic Scrodinger equation in rectangular equilateral triangle provided that solution satisfies the homogeneous Neumann boundary condition. Stability and local bifurcations of homogeneous cycle are studied. We show that the bifurcation of two nonhomogeneous cycles takes place when homogeneous cycle loses its stability. 
@article{MAIS_2008_15_2_a7,
     author = {D. A. Kulikov},
     title = {Bifurcations of homogeneous cycle of generalized cubic {Shrodinger} equation in the triangle},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2008_15_2_a7/}
}
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D. A. Kulikov. Bifurcations of homogeneous cycle of generalized cubic Shrodinger equation in the triangle. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 50-54. http://geodesic.mathdoc.fr/item/MAIS_2008_15_2_a7/