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...
| मुख्य लेखक: | |
|---|---|
| स्वरूप: | लेख |
| भाषा: | English |
| प्रकाशित: |
Yaroslavl State University
2012-01-01
|
| श्रृंखला: | Моделирование и анализ информационных систем |
| विषय: | |
| ऑनलाइन पहुंच: | http://mais-journal.ru/jour/article/view/27 |
| _version_ | 1828075947746656256 |
|---|---|
| author | S. A. Kaschenko |
| author_facet | S. A. Kaschenko |
| author_sort | S. A. Kaschenko |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T02:07:18Z |
| format | Article |
| id | doaj.art-5becf0b5b51c4f9b8b8f26807aaf390c |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-11T02:07:18Z |
| publishDate | 2012-01-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-5becf0b5b51c4f9b8b8f26807aaf390c2023-01-03T02:49:36ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172012-01-01193326221Asymptotics of Solutions of the Generalized Hutchinson’s EquationS. A. Kaschenko0Ярославский государственный университет им. П.Г. ДемидоваWe 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.http://mais-journal.ru/jour/article/view/27дифференциальное уравнение с запаздываниемуравнение Хатчинсонабольшой параметрасимптотикапериодическое решение |
| spellingShingle | S. A. Kaschenko Asymptotics of Solutions of the Generalized Hutchinson’s Equation Моделирование и анализ информационных систем дифференциальное уравнение с запаздыванием уравнение Хатчинсона большой параметр асимптотика периодическое решение |
| title | Asymptotics of Solutions of the Generalized Hutchinson’s Equation |
| title_full | Asymptotics of Solutions of the Generalized Hutchinson’s Equation |
| title_fullStr | Asymptotics of Solutions of the Generalized Hutchinson’s Equation |
| title_full_unstemmed | Asymptotics of Solutions of the Generalized Hutchinson’s Equation |
| title_short | Asymptotics of Solutions of the Generalized Hutchinson’s Equation |
| title_sort | asymptotics of solutions of the generalized hutchinson s equation |
| topic | дифференциальное уравнение с запаздыванием уравнение Хатчинсона большой параметр асимптотика периодическое решение |
| url | http://mais-journal.ru/jour/article/view/27 |
| work_keys_str_mv | AT sakaschenko asymptoticsofsolutionsofthegeneralizedhutchinsonsequation |