A necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems

DOI10.1016/J.AML.2009.01.045zbMath1173.34327OpenAlexW1972788007MaRDI QIDQ1033089

J. Blot

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.045

zbMATH Keywords

periodic solutionsautonomous systemsimplicit function theoremPoincaré-Bendixson theoremLoud's theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (1)

Bifurcation and number of subharmonic solutions of a \(2n\)-dimensional non-autonomous system and its application

Cites Work

• Investigation of periodic orbits in elliptical galaxies using the method of implicit functions
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