Periodic solutions of discontinuous second order differential equations. The porpoising effect

DOI10.1016/j.nonrwa.2023.103948zbMath1526.34027MaRDI QIDQ6171348

Pedro J. Torres, Alessandro Fonda

Publication date: 11 August 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

periodic boundary value problemPoincaré-Birkhoff theoremdiscontinuous systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• A multiplicity result for periodic solutions of second-order differential equations with a singularity
• A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows
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• Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
• Sur les périodes des solutions de l'équation différentielle x + g(x) = 0
• Porpoising oscillations of very-high-speed marine craft

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