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On the existence of canards in a nonlinear fluid system manifesting oscillatory behaviour
Stockholm University, Faculty of Science, Department of Meteorology .
Number of Authors: 32018 (English)In: International Journal of Non-Linear Mechanics, ISSN 0020-7462, E-ISSN 1878-5638, Vol. 98, p. 58-63Article in journal (Refereed) Published
Abstract [en]

In an earlier study dealing with a nonlinear fluid oscillator governed by two autonomous ODEs, the solutions were found to display some aberrant characteristics adjacent to the boundaries of the oscillatory regime in parameter space. It was argued that this behaviour indicated the presence of canards. In the present study it is formally proved that this indeed is the case, and some numerical examples illustrating the phenomenon as well as its effects are presented.

Place, publisher, year, edition, pages
2018. Vol. 98, p. 58-63
Keywords [en]
Slow-fast systems, Canard solutions, Canard-explosion phenomenon, Nonlinear fluid systems, Bifurcation
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:su:diva-152592DOI: 10.1016/j.ijnonlinmec.2017.10.006ISI: 000419412600007OAI: oai:DiVA.org:su-152592DiVA, id: diva2:1180551
Available from: 2018-02-06 Created: 2018-02-06 Last updated: 2018-02-06Bibliographically approved

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