Quasi-periodic oscillations of a neuron equation with two delays
The dynamics of a generalized impulse neuron equation with two delays is studied. A local analysis of a loss of stability for a nonzero equilibrium state has been made. Phase reorganizations have been numerically analyzed with the help of the obtained asymptotic formulas.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-03-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1079 |
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| _version_ | 1839573267581501440 |
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| author | S. D. Glyzin E. O. Ovsyannikova |
| author_facet | S. D. Glyzin E. O. Ovsyannikova |
| author_sort | S. D. Glyzin |
| collection | DOAJ |
| description | The dynamics of a generalized impulse neuron equation with two delays is studied. A local analysis of a loss of stability for a nonzero equilibrium state has been made. Phase reorganizations have been numerically analyzed with the help of the obtained asymptotic formulas. |
| format | Article |
| id | doaj-art-88bf93b62a224fa1b7471e60c479600c |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-88bf93b62a224fa1b7471e60c479600c2025-08-04T14:06:39ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-0118186105820Quasi-periodic oscillations of a neuron equation with two delaysS. D. Glyzin0E. O. Ovsyannikova1Ярославский государственный университет им. П. Г. ДемидоваДепартамент финансов Ярославской областиThe dynamics of a generalized impulse neuron equation with two delays is studied. A local analysis of a loss of stability for a nonzero equilibrium state has been made. Phase reorganizations have been numerically analyzed with the help of the obtained asymptotic formulas.https://www.mais-journal.ru/jour/article/view/1079delaynormal formbifurcationsautooscillations |
| spellingShingle | S. D. Glyzin E. O. Ovsyannikova Quasi-periodic oscillations of a neuron equation with two delays Моделирование и анализ информационных систем delay normal form bifurcations autooscillations |
| title | Quasi-periodic oscillations of a neuron equation with two delays |
| title_full | Quasi-periodic oscillations of a neuron equation with two delays |
| title_fullStr | Quasi-periodic oscillations of a neuron equation with two delays |
| title_full_unstemmed | Quasi-periodic oscillations of a neuron equation with two delays |
| title_short | Quasi-periodic oscillations of a neuron equation with two delays |
| title_sort | quasi periodic oscillations of a neuron equation with two delays |
| topic | delay normal form bifurcations autooscillations |
| url | https://www.mais-journal.ru/jour/article/view/1079 |
| work_keys_str_mv | AT sdglyzin quasiperiodicoscillationsofaneuronequationwithtwodelays AT eoovsyannikova quasiperiodicoscillationsofaneuronequationwithtwodelays |