Asymptotics of Solutions of the Generalized Hutchinson’s Equation
We discuss the dynamics of the Hutchinson’s equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a prob...
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| Médium: | Článek |
| Jazyk: | English |
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Yaroslavl State University
2012-01-01
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| Edice: | Моделирование и анализ информационных систем |
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| On-line přístup: | http://mais-journal.ru/jour/article/view/27 |
| Shrnutí: | We discuss the dynamics of the Hutchinson’s equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a problem of dynamical properties of ODE system describing Belousov — Zhabotinsky reaction. |
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| ISSN: | 1818-1015 2313-5417 |