Bifurcation structure of traveling pulses in type-I excitable media

0569989 - ÚI 2023 RIV US eng J - Článek v odborném periodiku
Moreno Spiegelberg, P. - Arinyo i Prats, Andreu - Ruiz-Reynés, D. - Matías, M.A. - Gomila, D.
Bifurcation structure of traveling pulses in type-I excitable media.
Physical Review E. Roč. 106, č. 3 (2022), č. článku 034206. ISSN 2470-0045. E-ISSN 2470-0053
Grant CEP: GA ČR(CZ) GA19-16066S
Institucionální podpora: RVO:67985807
Klíčová slova: pattern-formation * turbulence * stability * systems * fronts * waves * hopf
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Omezený přístup
https://dx.doi.org/10.1103/PhysRevE.106.034206

We study the scenario in which traveling pulses emerge in a prototypical type-I one-dimensional excitable medium, which exhibits two different routes to excitable behavior, mediated by a homoclinic (saddle-loop) and a saddle-node on the invariant cycle bifurcations. We characterize the region in parameter space in which traveling pulses are stable together with the different bifurcations behind either their destruction or loss of stability. In particular, some of the bifurcations delimiting the stability region have been connected, using singular limits, with the two different scenarios that mediated type-I local excitability. Finally, the existence of traveling pulses has been linked to a drift pitchfork instability of localized steady structures
Trvalý link: https://hdl.handle.net/11104/0341321


Vědecká data: preprint v arXiv.org