Geodesic
Local dynamics of the Hutchinson equation with two delays in a critical case of a resonance 1:2
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 53-57 
E. O. Kiseleva. Local dynamics of the Hutchinson equation with two delays in a critical case of a resonance 1:2. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 53-57. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a11/
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     author = {E. O. Kiseleva},
     title = {Local dynamics of the {Hutchinson} equation with two delays in a critical case of a resonance~1:2},
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     pages = {53--57},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A differential-difference equation arising at the description of dynamics of a population is considered. It is supposed that the parameters are chosen so that characteristic quasipolinom has two pairs of imaginary roots which are in resonance 1:2. The normal form of the equation, when the parameters are close to the critical values, is constructed. Phase reorganizations of a normal form under changes of parameters are studied.

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[2] S. D. Glyzin, A. Yu. Kolesov, Lokalnye metody analiza dinamicheskikh sistem, uchebnoe posobie, YarGU, Yaroslavl, 2006, 92 pp.