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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| 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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| author | E. O. Kiseleva |
| author_facet | E. O. Kiseleva |
| author_sort | E. O. Kiseleva |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-99a5f49447824bcf9e7e6286078ee16f |
| institution | Kabale University |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2007-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-99a5f49447824bcf9e7e6286078ee16f2025-08-20T04:00:19ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172007-06-011425357868Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2E. O. Kiseleva0Ярославский государственный университетA 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.https://www.mais-journal.ru/jour/article/view/1127 |
| spellingShingle | E. O. Kiseleva Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 Моделирование и анализ информационных систем |
| title | Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 |
| title_full | Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 |
| title_fullStr | Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 |
| title_full_unstemmed | Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 |
| title_short | Local Dynamics of the Hutchinson Equation with Two Delays in a Critical Case of a Resonance 1:2 |
| title_sort | local dynamics of the hutchinson equation with two delays in a critical case of a resonance 1 2 |
| url | https://www.mais-journal.ru/jour/article/view/1127 |
| work_keys_str_mv | AT eokiseleva localdynamicsofthehutchinsonequationwithtwodelaysinacriticalcaseofaresonance12 |