New proof and generalizations of the Demidowitsch–Schneider criterion

DOI10.1063/1.1286285zbMath1026.37012OpenAlexW1977303632MaRDI QIDQ2738178

Luis Giraldo, F. Gonzalez-Gascon

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1286285

zbMATH Keywords

Poincaré-Bendixson theoryDulac criterionclosed trajectoriesDemidovich criterion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27)

Cites Work

• Estimate of the number of periodic solutions via the twist number
• Periodic solutions of a class of dynamical systems of second order
• Periodic solutions on hypersurfaces and a result by C. Viterbo
• Periodic solutions of Lagrangian systems with bounded potential
• Periodic orbits for convex hamiltonian systems
• A note on periodic solutions of prescribed energy for singular Hamiltonian systems
• Periodic solutions of Hamiltonian systems on hypersurfaces in a torus
• An index theorem and Bendixson's negative criterion for certain differential equations of higher dimension
• On the existence of infinitely many periodic solutions to some problems of n‐body type
• Eine Verallgemeinerung des Kriteriums von Bendixson
• Über die periodischen Lösungen einer Klasse nichtlinearer autonomer Differentialgleichungssysteme dritter Ordnung

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