Existence of periodic orbits on 2-manifolds

DOI10.1016/0022-0396(78)90056-6zbMath0337.34041OpenAlexW2017852786MaRDI QIDQ1230012

Dean A. Neumann

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90056-6

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

The Poincaré-Bendixson theorem: from Poincaré to the XXIst century

Cites Work

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• Regular families of curves
• On the existence of periodic solutions on 2-manifolds
• A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds

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