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http://hdl.handle.net/1942/25654
Title: | Canard Explosion Near Non-Liénard Type Slow–Fast Hopf Point | Authors: | HUZAK, Renato | Issue Date: | 2018 | Publisher: | SPRINGER | Source: | Journal of Dynamics and Differential Equations, 31 (2), p. 683-709. | Abstract: | In this paper we study birth of canards near a smooth slow–fast Hopf point of non-Liénard center type which plays an important role in slow–fast codimension 3 saddle and elliptic bifurcations. We show that the number of limit cycles created in the birth of canards in such a slow–fast non-Liénard case is finite. Our paper is also a natural continuation of Dumortier and Roussarie (Discrete Contin Dyn Syst Ser S 2(4):723–781, 2009) where slow–fast Hopf points of Liénard type have been studied. We use geometric singular perturbation theory and the family blow-up. | Keywords: | family blow-up; normal forms; singular perturbation theory; slow–fast Hopf point | Document URI: | http://hdl.handle.net/1942/25654 | ISSN: | 1040-7294 | e-ISSN: | 1572-9222 | DOI: | 10.1007/s10884-018-9645-3 | ISI #: | WOS:000468343600004 | Rights: | © Springer Science+Business Media, LLC, part of Springer Nature 2018 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
NonLienardHopfFinal.pdf | Peer-reviewed author version | 726.74 kB | Adobe PDF | View/Open |
Canard.pdf Restricted Access | Published version | 894.79 kB | Adobe PDF | View/Open Request a copy |
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