Detailed Information on Publication Record
2024
Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUKBasic information
Original name
Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction
Authors
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK
Edition
SIAM Journal on Mathematical Analysis, Philadelphia (USA), Society for Industrial and Applied Mathematics Publications, 2024, 0036-1410
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 2.000 in 2022
Organization unit
Mathematical Institute in Opava
UT WoS
001171824800007
Keywords in English
Belousov-Zhabotinsky reaction; bistable model; delay; traveling front
Tags
Tags
International impact, Reviewed
Změněno: 20/1/2025 10:07, Mgr. Aleš Ryšavý
Abstract
V originále
We study the Murray adaptation of the Noyes-Field five-step model of the BelousovZhabotinsky (BZ) reaction in the case when a tuning parameter r, which determines the level of the bromide ion far ahead of the propagating wave, is bigger than 1 and when the delay in generation of the bromous acid is taken into account. The existence of wavefronts in the delayed BZ system was previously established only in the monostable situation with r \in (0, 1], the physically relevant bistable situation where r > 1 (in real experiments, r varies between 5 and 50) was left open. We complete the study by showing that the BZ system with r > 1 admits monotone traveling fronts. Note that one of the stable equilibria of the BZ model is not isolated. This circumstance does not allow the direct application of the topological or analytical methods previously elaborated for the analysis of the existence of bistable waves.