The number of limit cycles for regularized piecewise polynomial systems is unbounded
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Publication:2097007
DOI10.1016/j.jde.2022.09.028OpenAlexW4286973255MaRDI QIDQ2097007
K. Uldall Kristiansen, Renato Huzak
Publication date: 11 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.07759
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)
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