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http://hdl.handle.net/1942/43013
Title: | Cyclicity of slow–fast cycles with two canard mechanisms | Authors: | Yao, Jinhui HUZAK, Renato Huang, Jicai |
Issue Date: | 2024 | Publisher: | AIP Publishing | Source: | CHAOS, 34 (5) (Art N° 053112) | Abstract: | In this paper, we study the cyclicity of some degenerate slow-fast cycles with two canard mechanisms in planar slow-fast systems. One canard mechanism originates from a slow-fast Hopf point and the other from a point of self-intersection where the so-called entry-exit relation can be used. By studying the difference map, we show that the cyclicity of such slow-fast cycles is at most two (the associated slow divergence integral is nonzero or vanishes). As an example, we apply this result to the modified Holling-Tanner model. | Notes: | Huang, JC (corresponding author), Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China. | Keywords: | Canard;Perturbation theory;Relaxation oscillations | Document URI: | http://hdl.handle.net/1942/43013 | Link to publication/dataset: | https://pubs.aip.org/aip/cha/article/34/5/053112/3287872/Cyclicity-of-slow-fast-cycles-with-two-canard?searchresult=1 | ISSN: | 1054-1500 | e-ISSN: | 1089-7682 | DOI: | 10.1063/5.0201887 | ISI #: | WOS:001225919400006 | Rights: | PublishedunderanexclusivelicensebyAIPPublishing | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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ManuscriptChaos.pdf Restricted Access | Peer-reviewed author version | 488.11 kB | Adobe PDF | View/Open Request a copy |
053112_1_5.0201887.pdf Restricted Access | Published version | 4.11 MB | Adobe PDF | View/Open Request a copy |
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