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http://hdl.handle.net/1942/30058| Title: | Asymptotic lower bounds on Hilbert numbers using canard cycles | Authors: | Alvarez, Maria Jesus Coll, Bartomeu DE MAESSCHALCK, Peter Prohens, Rafel |
Issue Date: | 2020 | Publisher: | Elsevier | Source: | Journal of Differential Equations, 268 (7), p. 3370-3391 | Abstract: | In this work we give an asymptotic lower bound for the Hilbert number for real planar polynomial differential systems. This lower bound equals, up to leading order, to the best existing one, but the method we provide is new and involves slow-fast systems. The construction strongly relies on generalized Liénard systems. In this work we give an asymptotic lower bound for the Hilbert number for real planar polynomial differential systems. This lower bound equals, up to leading order, to the best existing one, but the method we provide is new and involves slow-fast systems. The construction strongly relies on generalized Liénard systems. |
Keywords: | Hilbert number;Slow-fast system;Canard cycle;Limit cycle | Document URI: | http://hdl.handle.net/1942/30058 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2019.09.057 | ISI #: | WOS:000508239600005 | Rights: | 2019 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 1-s2.0-S0022039619304644-main.pdf Restricted Access | Published version | 371.78 kB | Adobe PDF | View/Open Request a copy |
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