Dynamics of a system of nonlinear differential equations Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2007, Volume: 48, Number: 5, Pages: 949-960 Pages count : 12 DOI: 10.1007/s11202-007-0098-x | ||
| Tags | Nonlinear dynamics, ordinary differential equation, periodic solution, kinetic model | ||
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Abstract:
This is a qualitative analysis of a system of two nonlinear ordinary differential equations which arises in modeling the self-oscillations of the rate of heterogeneous catalytic reaction. The kinetic model under study accounts for the influence of the reaction environment on the catalyst; namely, we consider the reaction rate constant to be an exponential function of the surface concentration of oxygen with an exponent μ. We study the necessary and sufficient conditions for the existence of periodic solutions of differential equations as depending on μ. We formulate some sufficient conditions for all trajectories to converge to a steady state and study global behavior of the stable manifolds of singular saddle points.
Cite:
Chumakov G.A.
Dynamics of a system of nonlinear differential equations
Siberian Mathematical Journal. 2007. V.48. N5. P.949-960. DOI: 10.1007/s11202-007-0098-x WOS Scopus РИНЦ OpenAlex
Dynamics of a system of nonlinear differential equations
Siberian Mathematical Journal. 2007. V.48. N5. P.949-960. DOI: 10.1007/s11202-007-0098-x WOS Scopus РИНЦ OpenAlex
Original:
Чумаков Г.А.
Динамика нелинейной системы дифференциальных уравнений
Сибирский математический журнал. 2007. Т.48. №5. С.1180-1195.
Динамика нелинейной системы дифференциальных уравнений
Сибирский математический журнал. 2007. Т.48. №5. С.1180-1195.
Dates:
| Submitted: | Apr 19, 2006 |
Identifiers:
| Web of science: | WOS:000250598700021 |
| Scopus: | 2-s2.0-35148825407 |
| Elibrary: | 13542103 |
| OpenAlex: | W2326205658 |