Dynamics of a system of nonlinear differential equations Научная публикация
| Журнал |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Вых. Данные | Год: 2007, Том: 48, Номер: 5, Страницы: 949-960 Страниц : 12 DOI: 10.1007/s11202-007-0098-x | ||
| Ключевые слова | Nonlinear dynamics, ordinary differential equation, periodic solution, kinetic model | ||
| Авторы |
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| Организации |
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Реферат:
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.
Библиографическая ссылка:
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
Оригинальная:
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.
Даты:
| Поступила в редакцию: | 19 апр. 2006 г. |
Идентификаторы БД:
| Web of science: | WOS:000250598700021 |
| Scopus: | 2-s2.0-35148825407 |
| РИНЦ: | 13542103 |
| OpenAlex: | W2326205658 |