Geodesic
The structure of the fundamental matrix of a~system of coupled-mode equations
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 320-334

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In the paper, a system of coupled-mode equations is considered which is a mathematical model for a waveguide. We deal with problems alike those treated by R. F. Matveev, M. H. Zahar-Itkin and G. C. Papanicolaou, but in the present paper we investigate the structure of the fundamental matrix in the whole, while the above-mentioned authors studied it partly. We use the «orispherical» coordinates. For the diagonal component of the fundamental matrix a theorem analogous to the strong law of large numbers is obtained. 
@article{TVP_1977_22_2_a7,
     author = {S. V. Rezni\v{c}enko},
     title = {The structure of the fundamental matrix of a~system of coupled-mode equations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {320--334},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a7/}
}
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S. V. Rezničenko. The structure of the fundamental matrix of a~system of coupled-mode equations. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 320-334. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a7/