A corollary of the Poincaré-Bendixson theorem and periodic canards

DOI10.1016/J.JDE.2009.09.010zbMath1229.34088OpenAlexW1988629796MaRDI QIDQ1040609

A. A. Zhezherun, A. A. Pokrovskiy, Alexei V. Pokrovskii

Publication date: 25 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.09.010

zbMATH Keywords

Poincaré-Bendixson theoremslow-fast systemsperiodic canards

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

Related Items (2)

The Poincaré-Bendixson theorem: from Poincaré to the XXIst century ⋮ Dependency of the positive and negative long-time behaviors of flows on surfaces

Cites Work

• Chasse au canard
• More limit cycles than expected in Liénard equations
• Topological degree in analysis of chaotic behavior in singularly perturbed systems

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