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On the existence of oscialltory solutions in the WeisbuchSalomon-Atlan model for the Belousov-Zhabotinskij reaction. (English) Zbl 0405.34048


MSC:

34D20 Stability of solutions to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
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References:

[1] E. A. Coddington N. Levison: Theory of Ordinary Differential Equations. McGraw Hill Book Co., Inc., New York-Toronto-London 1955.
[2] J. Cronin: Periodic Solutions in n Dimensions and Volterra Equations. J. Differential Equations 19 (1975), 21-35. · Zbl 0278.34033 · doi:10.1016/0022-0396(75)90015-7
[3] P. Hartman: Ordinary Differential Equations. (Russian Translation), Izdat. Mir, Moskva 1970. · Zbl 0214.09101
[4] I. D. Hsū: Existence of Periodic Solutions for the Belousov-Zaikin-Zhabotinskij Reaction by a Theorem of Hopf. J. Differential Equations 20 (1976), 399-403. · Zbl 0278.34034 · doi:10.1016/0022-0396(76)90116-9
[5] H. W. Knobloch F. Kappel: Gewöhnliche Differentialgleichungen. B. G. Teubner, Stuttgart, 1974. · Zbl 0283.34001
[6] Л. С. Понтрягин: Обыкновенные диференциальные уравнения. Издат. Наука, Москва 1970. · Zbl 1107.83313 · doi:10.1063/1.1665348
[7] G. Weisbuch J. Salomon, H. Atlan: Analyse algébrique de la stabilité d’un système à trois composants tiré de la réaction de Jabotinski. J. de Chimie Physique, 72 (1975), 71 - 77.
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