Geodesic
Local dynamics of an equation with long delay feedback
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 75-85

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We study the local dynamics of a nonlinear complex DDE with large delay in the vicinity of the zero solution. The quasinormal forms method is used for the problem analysis. We show that parabolic type GL-equations act as normal forms in critical cases of the infinite dimension.
Keywords: delay; laser model; normal form; asymptotic formula; small parameter. 
@article{MAIS_2011_18_1_a7,
     author = {D. V. Glazkov},
     title = {Local dynamics of an equation with long delay feedback},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {75--85},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a7/}
}
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D. V. Glazkov. Local dynamics of an equation with long delay feedback. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 75-85. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a7/