Integrable weak saddles for trigonometric Liénard systems

DOI10.1007/s10883-019-09470-5zbMath1446.34003OpenAlexW2994529617MaRDI QIDQ2185762

Claudia Valls

Publication date: 5 June 2020

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-019-09470-5

zbMATH Keywords

trigonometric polynomialsLiénard systemsweak saddle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• A simple solution of some composition conjectures for Abel equations
• An algebraic approach to the classification of centers in polynomial Liénard systems
• Center problem for trigonometric Liénard systems
• Integrability of Liénard systems with a weak saddle
• Stability of motion
• The Center and Cyclicity Problems
• Universal centres and composition conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item