Relaxation cycles of the generalized pulsed neuron equation
In the paper we analyze the generalized model of the V. V. Mayorov and I. Yu. Myshkin pulsed neuron. The neuron equation contains a delay of the sodium conductance with respect to the transmembrane potential as well as the potassium one. We proved the exisence and stability of the periodic solution...
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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 |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1080 |
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| _version_ | 1849688229496750080 |
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| author | I. V. Paramonov |
| author_facet | I. V. Paramonov |
| author_sort | I. V. Paramonov |
| collection | DOAJ |
| description | In the paper we analyze the generalized model of the V. V. Mayorov and I. Yu. Myshkin pulsed neuron. The neuron equation contains a delay of the sodium conductance with respect to the transmembrane potential as well as the potassium one. We proved the exisence and stability of the periodic solution and obtained its asymptotic expansion. |
| format | Article |
| id | doaj-art-46d55dfce446446a976ca393d507b3a2 |
| institution | DOAJ |
| 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-46d55dfce446446a976ca393d507b3a22025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-01181106115821Relaxation cycles of the generalized pulsed neuron equationI. V. Paramonov0Ярославский государственный университет им. П.Г. ДемидоваIn the paper we analyze the generalized model of the V. V. Mayorov and I. Yu. Myshkin pulsed neuron. The neuron equation contains a delay of the sodium conductance with respect to the transmembrane potential as well as the potassium one. We proved the exisence and stability of the periodic solution and obtained its asymptotic expansion.https://www.mais-journal.ru/jour/article/view/1080relaxation oscillationspulsed neurondifferential-difference equationasymptotic analysis |
| spellingShingle | I. V. Paramonov Relaxation cycles of the generalized pulsed neuron equation Моделирование и анализ информационных систем relaxation oscillations pulsed neuron differential-difference equation asymptotic analysis |
| title | Relaxation cycles of the generalized pulsed neuron equation |
| title_full | Relaxation cycles of the generalized pulsed neuron equation |
| title_fullStr | Relaxation cycles of the generalized pulsed neuron equation |
| title_full_unstemmed | Relaxation cycles of the generalized pulsed neuron equation |
| title_short | Relaxation cycles of the generalized pulsed neuron equation |
| title_sort | relaxation cycles of the generalized pulsed neuron equation |
| topic | relaxation oscillations pulsed neuron differential-difference equation asymptotic analysis |
| url | https://www.mais-journal.ru/jour/article/view/1080 |
| work_keys_str_mv | AT ivparamonov relaxationcyclesofthegeneralizedpulsedneuronequation |