Geodesic
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.
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
Keywords: oscillatory solutions; oscillating oxidation reaction; stability properties; periodic solution; exponential asymptotically stable; generalized Volterra equation; conditionally stable 
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     title = {On the existence of oscillatory solutions in the {Weisbuch-Salomon-Atlan} model for the {Belousov-Zhabotinskij} reaction},
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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

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