Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators
A pair of diffusion connected FitzHugh–Nagumo oscillators with an asymmetric interaction are considered. The problem is investigated in the close to critical case, where the matrix of the linear part of the system has a pair of purely imaginary eigenvalues. The normal form is constructed and its coe...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2014-02-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/132 |
| _version_ | 1797877953359511552 |
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| author | E. A. Marushkina |
| author_facet | E. A. Marushkina |
| author_sort | E. A. Marushkina |
| collection | DOAJ |
| description | A pair of diffusion connected FitzHugh–Nagumo oscillators with an asymmetric interaction are considered. The problem is investigated in the close to critical case, where the matrix of the linear part of the system has a pair of purely imaginary eigenvalues. The normal form is constructed and its coefficients are determined depending on the initial parameters. The source system may be in two different situations: stable singlefrequency oscillations with two different frequencies coexist or a single-frequency mode branches from the equilibrium. The obtained asymptotic results are supplemented by the numerical analysis. |
| first_indexed | 2024-04-10T02:24:56Z |
| format | Article |
| id | doaj.art-7101b2fab8444a3f8d81da06dbceb4de |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:24:56Z |
| publishDate | 2014-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-7101b2fab8444a3f8d81da06dbceb4de2023-03-13T08:07:32ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172014-02-0121111512010.18255/1818-1015-2014-1-115-120126Asymmetric Interaction of a Pair FitzHugh–Nagumo OscillatorsE. A. Marushkina0Ярославский государственный университет им. П. Г. ДемидоваA pair of diffusion connected FitzHugh–Nagumo oscillators with an asymmetric interaction are considered. The problem is investigated in the close to critical case, where the matrix of the linear part of the system has a pair of purely imaginary eigenvalues. The normal form is constructed and its coefficients are determined depending on the initial parameters. The source system may be in two different situations: stable singlefrequency oscillations with two different frequencies coexist or a single-frequency mode branches from the equilibrium. The obtained asymptotic results are supplemented by the numerical analysis.https://www.mais-journal.ru/jour/article/view/132равнение фитцхью–нагумосвязанные осцилляторынормальная формадиффузионное взаимодействиебифуркация |
| spellingShingle | E. A. Marushkina Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators Моделирование и анализ информационных систем равнение фитцхью–нагумо связанные осцилляторы нормальная форма диффузионное взаимодействие бифуркация |
| title | Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators |
| title_full | Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators |
| title_fullStr | Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators |
| title_full_unstemmed | Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators |
| title_short | Asymmetric Interaction of a Pair FitzHugh–Nagumo Oscillators |
| title_sort | asymmetric interaction of a pair fitzhugh nagumo oscillators |
| topic | равнение фитцхью–нагумо связанные осцилляторы нормальная форма диффузионное взаимодействие бифуркация |
| url | https://www.mais-journal.ru/jour/article/view/132 |
| work_keys_str_mv | AT eamarushkina asymmetricinteractionofapairfitzhughnagumooscillators |