On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction
Applications of Mathematics, Tome 23 (1978) no. 4, pp. 280-294.
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The stability properties of solutions of the differential system which represents the considered model for the Belousov - Zhabotinskij reaction are studied in this paper. The existence of oscillatory solutions of this system is proved and a theorem on separation of zero-points of the components of such solutions is established. It is also shown that there exists a periodic solution.
DOI :
10.21136/AM.1978.103753
Classification :
34C15, 34C25, 34D20, 92A09
Mots-clés : oscillatory solutions; oscillating oxidation reaction; stability properties; periodic solution; exponential asymptotically stable; generalized Volterra equation; conditionally stable
Mots-clés : oscillatory solutions; oscillating oxidation reaction; stability properties; periodic solution; exponential asymptotically stable; generalized Volterra equation; conditionally stable
@article{10_21136_AM_1978_103753, author = {\v{S}eda, Valter}, title = {On the existence of oscillatory solutions in the {Weisbuch-Salomon-Atlan} model for the {Belousov-Zhabotinskij} reaction}, journal = {Applications of Mathematics}, pages = {280--294}, publisher = {mathdoc}, volume = {23}, number = {4}, year = {1978}, doi = {10.21136/AM.1978.103753}, mrnumber = {0495430}, zbl = {0405.34048}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103753/} }
TY - JOUR AU - Šeda, Valter TI - On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction JO - Applications of Mathematics PY - 1978 SP - 280 EP - 294 VL - 23 IS - 4 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103753/ DO - 10.21136/AM.1978.103753 LA - en ID - 10_21136_AM_1978_103753 ER -
%0 Journal Article %A Šeda, Valter %T On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction %J Applications of Mathematics %D 1978 %P 280-294 %V 23 %N 4 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103753/ %R 10.21136/AM.1978.103753 %G en %F 10_21136_AM_1978_103753
Šeda, Valter. On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction. Applications of Mathematics, Tome 23 (1978) no. 4, pp. 280-294. doi : 10.21136/AM.1978.103753. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103753/
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