Study of a homoclinic canard explosion from a degenerate center
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Article number | 108203 |
| Journal / Publication | Applied Mathematics Letters |
| Volume | 132 |
| Online published | 23 May 2022 |
| Publication status | Published - Oct 2022 |
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| DOI | DOI |
|---|---|
| Attachment(s) | Documents
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85131399121&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(95966f81-793c-4413-8470-95d67a680011).html |
Abstract
Canard explosion is an appealing event occurring in singularly perturbed systems. In this phenomenon, upon variation of a parameter within an exponentially small range, the amplitude of a small limit cycle increases abruptly. In this letter we analyze the canard explosion in a limit cycle related to a degenerate center (with zero Jacobian matrix). We provide a second-order approximation of the critical value of the parameter for which the canard explosion occurs. Numerical results are compared with the analytical predictions and excellent agreements are found. As in this problem the canard explosion ends in a homoclinic connection, a very good approximation for the homoclinic curve in the parameter plane is also obtained.
Research Area(s)
- Asymptotic expansion, Canard, Degenerate center, Homoclinic connection, Singularly perturbed system
Citation Format(s)
Study of a homoclinic canard explosion from a degenerate center. / Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio et al.
In: Applied Mathematics Letters, Vol. 132, 108203, 10.2022.
In: Applied Mathematics Letters, Vol. 132, 108203, 10.2022.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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