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http://hdl.handle.net/1942/41859
Title: | Side-Comparison for Transition Maps in Multi-Layer Canard Problems | Authors: | DE MAESSCHALCK, Peter DUMORTIER, Freddy Roussarie, Robert |
Issue Date: | 2023 | Publisher: | PLEIADES PUBLISHING INC | Source: | REGULAR & CHAOTIC DYNAMICS, 28 (4) , p. 763 -780 | Abstract: | The paper deals with multi-layer canard cycles, extending the results of [1]. As a practical tool we introduce the connection diagram of a canard cycle and we show how to determine it in an easy way. This connection diagram presents in a clear way all available information that is necessary to formulate the main system of equations used in the study of the bifurcating limit cycles. In a forthcoming paper we will show that both the type of the layers and the nature of the connections between the layers play an essential role in determining the number and the bifurcations of the limit cycles that can be created from a canard cycle. | Notes: | Maesschalck, PD (corresponding author), Hasselt Univ, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. peter.demaesschalck@uhasselt.be; freddy.dumortier@uhasselt.be; robert.roussarie@u-bourgogne.fr |
Keywords: | multi-layer canard cycles;multi-layer canard cycles;orientation of SF and FS passages;orientation of SF and F S passages;side-comparison at a canard connection;side-comparison at a canard connection;connection diagram;connection diagram;equations for limit cycles;equations for limit cycles | Document URI: | http://hdl.handle.net/1942/41859 | ISSN: | 1560-3547 | e-ISSN: | 1468-4845 | DOI: | 10.1134/S1560354723040159 | ISI #: | 001087501700021 | Rights: | Pleiades Publishing, Ltd., 2023 | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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