Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2007-06-01
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| Series: | Моделирование и анализ информационных систем |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1127 |
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| Summary: | 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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| ISSN: | 1818-1015 2313-5417 |