Szczegóły publikacji

Opis bibliograficzny

Solitary wave dynamics governed by the modified FitzHugh-Nagumo equation / Aleksandra GAWLIK, Vsevolod VLADIMIROV, Sergii Skurativskyi // Journal of Computational and Nonlinear Dynamics ; ISSN 1555-1423. — 2020 — vol. 15 iss. 6 art. no. 061003, s. 1–6. — Bibliogr. — Publikacja dostępna online od: 2020-04-21


Autorzy (3)


Słowa kluczowe

spectral stabilityEvans function techniquebirth and annihilation of solitary wavessolitary wave solutionssoliton collisionmodified FitzHugh-Nagumo model

Dane bibliometryczne

ID BaDAP128812
Data dodania do BaDAP2020-06-01
DOI10.1115/1.4046821
Rok publikacji2020
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaJournal of Computational and Nonlinear Dynamics

Abstract

The paper deals with the studies of the nonlinear wave solutions supported by the modified FitzHugh-Nagumo (mFHN) system. It was proved in our previous work that the model, under certain conditions, possesses a set of soliton-like traveling wave (TW) solutions. In this paper, we show that the model has two solutions of the soliton type differing in propagation velocity. Their location in parametric space, and stability properties are considered in more details. Numerical results accompanied by the application of the Evans function technique prove the stability of fast solitary waves and instability of slow ones. A possible way of formation and annihilation of localized regimes in question is studied therein too.

Publikacje, które mogą Cię zainteresować

artykuł
Existence of the solitary wave solutions supported by the modified FitzHugh-Nagumo system / Aleksandra Gawlik, Vsevolod VLADIMIROV, Sergii Skurativskyi // Nonlinear Analysis: Modelling and Control ; ISSN 1392-5113. — 2020 — vol. 25 no. 3, s. 482–501. — Bibliogr. s. 500-501, Abstr. — Publikacja dostępna online od: 2020-05-01
fragment książki
Solitary wave dynamics governed by the modified FHN equation / A. Gawlik, V. VLADIMIROV, S. Skurativskyi // W: Mathematics in technical and natural sciences : 16th conference : Kościelisko, 30th June – 5th July 2019. — [Kościelisko : s. n.], [2019]. — S. 11. — Bibliogr. s. 11