Two-frequency self-oscillations in a FitzHugh–Nagumo neural network
- Авторлар: Glyzin S.D.1, Kolesov A.Y.1, Rozov N.K.2
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Мекемелер:
- Faculty of Mathematics
- Faculty of Mechanics and Mathematics
- Шығарылым: Том 57, № 1 (2017)
- Беттер: 106-121
- Бөлім: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178874
- DOI: https://doi.org/10.1134/S0965542517010067
- ID: 178874
Дәйексөз келтіру
Аннотация
A new mathematical model of a one-dimensional array of FitzHugh–Nagumo neurons with resistive-inductive coupling between neighboring elements is proposed. The model relies on a chain of diffusively coupled three-dimensional systems of ordinary differential equations. It is shown that any finite number of coexisting stable invariant two-dimensional tori can be obtained in this chain by suitably increasing the number of its elements.
Авторлар туралы
S. Glyzin
Faculty of Mathematics
Хат алмасуға жауапты Автор.
Email: glyzin@uniyar.ac.ru
Ресей, Yaroslavl, 150000
A. Kolesov
Faculty of Mathematics
Email: fpo.mgu@mail.ru
Ресей, Yaroslavl, 150000
N. Rozov
Faculty of Mechanics and Mathematics
Хат алмасуға жауапты Автор.
Email: fpo.mgu@mail.ru
Ресей, Moscow, 119991
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