Geodesic
On condition of a~``breakdown'' in the singularly perturbed systems
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 83-91

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A behavior of the singularly perturbed systems near the points of quasy-crossing is under consideration. The criterion of “breakdown” is determined for the model situation. The corresponding bifurcation theory problems are discussed. 
@article{ZNSL_1992_203_a6,
     author = {A. Ya. Kazakov},
     title = {On condition of a~``breakdown'' in the singularly perturbed systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {83--91},
     publisher = {mathdoc},
     volume = {203},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_203_a6/}
}
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A. Ya. Kazakov. On condition of a~``breakdown'' in the singularly perturbed systems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 83-91. http://geodesic.mathdoc.fr/item/ZNSL_1992_203_a6/