Mixed Mode Oscillation in FitzHugh-Rinzel Model
FitzHugh-Nagumo-Rinzel model is an important model for the dynamics of single neuron. We observed some patterns of Bursting specially Mixed Mode Oscillation (MMO) in this model. In some ranges of parameters we can find a robust canard in this system. These phenomena have been observed by many resear...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-05-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2876-en.html |
| _version_ | 1797871629312720896 |
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| author | Mohammad Reza Razvan Seyed Sheida Shahidi Shadkam |
| author_facet | Mohammad Reza Razvan Seyed Sheida Shahidi Shadkam |
| author_sort | Mohammad Reza Razvan |
| collection | DOAJ |
| description | FitzHugh-Nagumo-Rinzel model is an important model for the dynamics of single neuron. We observed some patterns of Bursting specially Mixed Mode Oscillation (MMO) in this model. In some ranges of parameters we can find a robust canard in this system. These phenomena have been observed by many researchers in systems with one fast variable and two slow variables. The interesting point of our work is that our system has one slow variable and two fast variables../files/site1/files/71/6.pdf |
| first_indexed | 2024-04-10T00:46:52Z |
| format | Article |
| id | doaj.art-1d067e8297d34975ba94174afbe4690d |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:52Z |
| publishDate | 2021-05-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-1d067e8297d34975ba94174afbe4690d2023-03-13T19:22:36ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-05-01715366Mixed Mode Oscillation in FitzHugh-Rinzel ModelMohammad Reza Razvan0Seyed Sheida Shahidi Shadkam1 Sharif University of Technology FitzHugh-Nagumo-Rinzel model is an important model for the dynamics of single neuron. We observed some patterns of Bursting specially Mixed Mode Oscillation (MMO) in this model. In some ranges of parameters we can find a robust canard in this system. These phenomena have been observed by many researchers in systems with one fast variable and two slow variables. The interesting point of our work is that our system has one slow variable and two fast variables../files/site1/files/71/6.pdfhttp://mmr.khu.ac.ir/article-1-2876-en.htmlfitzhugh-nagumo modelmixed mode oscillationsburstingcanard. |
| spellingShingle | Mohammad Reza Razvan Seyed Sheida Shahidi Shadkam Mixed Mode Oscillation in FitzHugh-Rinzel Model پژوهشهای ریاضی fitzhugh-nagumo model mixed mode oscillations bursting canard. |
| title | Mixed Mode Oscillation in FitzHugh-Rinzel Model |
| title_full | Mixed Mode Oscillation in FitzHugh-Rinzel Model |
| title_fullStr | Mixed Mode Oscillation in FitzHugh-Rinzel Model |
| title_full_unstemmed | Mixed Mode Oscillation in FitzHugh-Rinzel Model |
| title_short | Mixed Mode Oscillation in FitzHugh-Rinzel Model |
| title_sort | mixed mode oscillation in fitzhugh rinzel model |
| topic | fitzhugh-nagumo model mixed mode oscillations bursting canard. |
| url | http://mmr.khu.ac.ir/article-1-2876-en.html |
| work_keys_str_mv | AT mohammadrezarazvan mixedmodeoscillationinfitzhughrinzelmodel AT seyedsheidashahidishadkam mixedmodeoscillationinfitzhughrinzelmodel |