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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICAL MODELING
Stability of the rest points fractional oscillator FitzHugh-Nagumo
O. D. Lipko Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
Abstract:
In this paper, using the qualitative analysis, we studied the stability of the point of rest of the fractional oscillator FitzHugh-Nagumo in commensurate and incommensurable cases. For the corresponding point of rest, using the numerical method of the theory of finite difference schemes, phase trajectories were constructed. It is shown that quiescent points can be both asymptotically stable, which correspond to stable focus, and are asymptotically unstable (unstable focus), and for them the phase trajectories usually go to the limit cycle.
Keywords:
rest points, stability, limit cycle, FitzHugh-Nagumo fractional oscillator, phase trajectories.
Received: 16.03.2019
Citation:
O. D. Lipko, “Stability of the rest points fractional oscillator FitzHugh-Nagumo”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 26:1 (2019), 63–70
Linking options:
https://www.mathnet.ru/eng/vkam342 https://www.mathnet.ru/eng/vkam/v26/i1/p63
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Abstract page: | 128 | Full-text PDF : | 50 | References: | 27 |
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