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...
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
Yaroslavl State University
2012-01-01
|
| سلاسل: | Моделирование и анализ информационных систем |
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://mais-journal.ru/jour/article/view/27 |
| الملخص: | 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. |
|---|---|
| تدمد: | 1818-1015 2313-5417 |