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...
| 主要作者: | |
|---|---|
| 格式: | 文件 |
| 语言: | English |
| 出版: |
Yaroslavl State University
2012-01-01
|
| 丛编: | Моделирование и анализ информационных систем |
| 主题: | |
| 在线阅读: | http://mais-journal.ru/jour/article/view/27 |
| 总结: | 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. |
|---|---|
| ISSN: | 1818-1015 2313-5417 |