Generic Poincaré-Bendixson theorem for singularly perturbed monotone systems with respect to cones of rank-2

DOI10.1090/proc/16515arXiv2110.11783WikidataQ122200033 ScholiaQ122200033MaRDI QIDQ6052132

Xizhuang Xie, Lin Niu

Publication date: 21 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11783

zbMATH Keywords

singular perturbationregular perturbationgeneric Poincaré-Bendixson theoremmonotone systems with respect to 2-cones

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Singular perturbations for ordinary differential equations (34E15) Monotone systems involving ordinary differential equations (34C12)

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