|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
The Dynamics of Second-order Equations with Delayed Feedback and a Large Coefficient of Delayed Control
Sergey A. Kashchenkoab a P.G. Demidov Yaroslavl State University,
ul. Sovetskaya 14, Yaroslavl, 150000 Russia
b National Nuclear Research University (MEPhI),
Kashirskoe sh. 31, Moscow, 115409 Russia
Аннотация:
The dynamics of second-order equations with nonlinear delayed feedback and a large coefficient of a delayed equation is investigated using asymptotic methods. Based on special methods of quasi-normal forms, a new construction is elaborated for obtaining the main terms of asymptotic expansions of asymptotic residual solutions. It is shown that the dynamical properties of the above equations are determined mostly by the behavior of the solutions of some special families of parabolic boundary value problems. A comparative analysis of the dynamics of equations with the delayed feedback of three types is carried out.
Ключевые слова:
delay, feedback, nonlinear dynamics, boundary value problems.
Поступила в редакцию: 17.09.2015 Принята в печать: 20.12.2015
Образец цитирования:
Sergey A. Kashchenko, “The Dynamics of Second-order Equations with Delayed Feedback and a Large Coefficient of Delayed Control”, Regul. Chaotic Dyn., 21:7-8 (2016), 811–820
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd227 https://www.mathnet.ru/rus/rcd/v21/i7/p811
|
Статистика просмотров: |
Страница аннотации: | 161 | PDF полного текста: | 1 | Список литературы: | 38 |
|