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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Yaroslavl State University
2011-03-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1080 |
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doaj-46d55dfce446446a976ca393d507b3a22021-07-29T08:15:17ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172011-03-01181106115821Relaxation 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
I. V. Paramonov |
| spellingShingle |
I. V. Paramonov Relaxation cycles of the generalized pulsed neuron equation Modelirovanie i Analiz Informacionnyh Sistem relaxation oscillations pulsed neuron differential-difference equation asymptotic analysis |
| author_facet |
I. V. Paramonov |
| author_sort |
I. V. Paramonov |
| title |
Relaxation cycles of the generalized pulsed neuron equation |
| title_short |
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_sort |
relaxation cycles of the generalized pulsed neuron equation |
| publisher |
Yaroslavl State University |
| series |
Modelirovanie i Analiz Informacionnyh Sistem |
| issn |
1818-1015 2313-5417 |
| publishDate |
2011-03-01 |
| 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. |
| 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 |
| _version_ |
1721256560403939328 |