Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2
Abstract
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.
References
1. Колесов, Ю. С. Проблема адекватности экологических уравнений / Ю. С. Колесов. - Ярославль, 1985. Деп. в ВИНИТИ 1985, №1901-85.
2. Глызин, С.Д. Локальные методы анализа динамических систем: учебное пособие / С.Д. Глызин, А.Ю. Колесов; Яросл. гос. ун-т. - Ярославль: ЯрГУ, 2006. - 92 с.
Review
For citations:
Kiseleva E.O. Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2. Modeling and Analysis of Information Systems. 2007;14(2):53-57. (In Russ.)
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