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Asymptotic lower bounds on Hilbert numbers using canard cycles

Journal Contribution - Journal Article

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 LiƩnard systems.
Journal: Journal of Differential Equations
ISSN: 0022-0396
Issue: 7
Volume: 268
Pages: 3370 - 3391
Publication year:2020
Keywords:Hilbert number, Slow-fast system, Canard cycle, Limit cycle
BOF-keylabel:yes
IOF-keylabel:yes
BOF-publication weight:6
CSS-citation score:2
Authors:International
Authors from:Higher Education
Accessibility:Closed