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Localization of the Trajectory Bundles of Tunnel Type Научная публикация

Конференция Numerical Analysis and Applied Mathematics
19-25 сент. 2011 , Halkidiki
Журнал AIP Conference Proceedings
ISSN: 0094-243X , E-ISSN: 1551-7616
Вых. Данные Год: 2011, Том: 1389, Номер: 1, Страницы: 1116-1119 Страниц : 4 DOI: 10.1063/1.3637809
Ключевые слова Nonlinear dynamics, canards, bundle of trajectories, ordinary differential equations.
Авторы Chumakov G.A. 1 , Chumakova L.G. 2
Организации
1 Sobolev Institute of Mathematics, Novosibirsk 630090, Russia
2 Massachusetts Institute of Technology, Cambridge, MA 02139, USA

Реферат: The paper addresses the question of canard localization in systems with relaxation oscillations in the case when the small parameter does not approach zero. In particular, we propose a new approach of localization in phase space of the trajectory bundles of tunnel type in 2D dynamical systems with fast and slow variables. This method uses the envelope of straight lines passing through the points of contact isoclines with different slope and the vector field, i.e., it is based only on the solution of algebraic equations.
Библиографическая ссылка: Chumakov G.A. , Chumakova L.G.
Localization of the Trajectory Bundles of Tunnel Type
AIP Conference Proceedings. 2011. V.1389. N1. P.1116-1119. DOI: 10.1063/1.3637809 Scopus РИНЦ OpenAlex
Идентификаторы БД:
Scopus: 2-s2.0-81855220275
РИНЦ: 18015222
OpenAlex: W2044879311
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OpenAlex 1
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