Dynamics of the Painlevé-Ince equation

DOI10.1007/S00025-022-01783-5OpenAlexW4309199715MaRDI QIDQ2095509

Jaume Llibre

Publication date: 17 November 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01783-5

zbMATH Keywords

first integralphase portraitPoincaré discPainlevé-Ince equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• On singularities of certain non-linear second-order ordinary differential equations
• Singularity analysis of a variant of the Painlevé-Ince equation
• Qualitative theory of planar differential systems
• The Riccati and Ermakov-Pinney hierarchies
• THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
• On the singularity analysis of ordinary differential equations invariant under time translation and rescaling
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• A SURVEY ON THE BLOW UP TECHNIQUE

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