Existence of periodic orbits for high-dimensional autonomous systems

DOI10.1016/j.jmaa.2009.08.058zbMath1203.34051OpenAlexW2010397660MaRDI QIDQ1046494

Luis Angel Sanchez

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.058

zbMATH Keywords

periodic orbitsautonomous systemsPoincaré-Bendixson property

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

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Cites Work

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• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• Orbital stability for ordinary differential equations
• A Perron theorem for the existence of invariant subspaces
• On Bendixson's criterion
• Stable periodic orbits for a class of three dimensional competitive systems
• Dynamics of differential equations on invariant manifolds
• A generalization of Bendixson’s criterion
• Existence of periodic orbits of autonomous ordinary differential equations
• Ordinary Differential Equations with Applications
• Persistence in dynamical systems
• Criteria on the nonexistence of invariant Lipschitz submanifolds for dynamical systems

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