Localization of the Trajectory Bundles of Tunnel Type Full article
| Conference |
Numerical Analysis and Applied Mathematics 19-25 Sep 2011 , Halkidiki |
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| Journal |
AIP Conference Proceedings
ISSN: 0094-243X , E-ISSN: 1551-7616 |
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| Output data | Year: 2011, Volume: 1389, Number: 1, Pages: 1116-1119 Pages count : 4 DOI: 10.1063/1.3637809 | ||||
| Tags | Nonlinear dynamics, canards, bundle of trajectories, ordinary differential equations. | ||||
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Abstract:
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.
Cite:
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
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
Identifiers:
| Scopus: | 2-s2.0-81855220275 |
| Elibrary: | 18015222 |
| OpenAlex: | W2044879311 |