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http://hdl.handle.net/1942/14898
Title: | Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations | Authors: | DE MAESSCHALCK, Peter HUZAK, Renato DUMORTIER, Freddy |
Issue Date: | 2013 | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 255(11). p. 4012-4051 | Abstract: | In this paper we study singular perturbation problems occuring in planar slow-fast systems. We distinguish between slow-fast elliptic and slow-fast saddle bifurcations of codimension 3. These bifurcations are singular limits of well-known codimension 3 bifurcations. In this paper we focus on the appearance of small-amplitude limit cycles, using tools from geometric singular perturbation theory, including blow-up. | Keywords: | slow-fast system; singular perturbations; slow-divergence integral; limit cycle; blow-up | Document URI: | http://hdl.handle.net/1942/14898 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2013.07.057 | ISI #: | 000324960100012 | Rights: | © 2013 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2014 |
Appears in Collections: | Research publications |
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1-s2.0-S002203961300332X-main.pdf Restricted Access | 2.04 MB | Adobe PDF | View/Open Request a copy |
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