Singularities of second-order implicit differential equations: A geometrical approach

DOI10.1023/A:1013007405832zbMath1028.34003OpenAlexW39065366MaRDI QIDQ1868366

Michelle LeMasurier

Publication date: 27 April 2003

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

Full work available at URL: https://doi.org/10.1023/a:1013007405832

zbMATH Keywords

normal formsingular pointimplicit differential equationdifferential algebraic equationsecond-order equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Geometric methods in ordinary differential equations (34A26)

Related Items (3)

On implicit second-order ordinary differential equations: Completely integrable and Clairaut type ⋮ Classifications of completely integrable implicit second order ordinary differential equations ⋮ Legendre singularities in systems of implicit ODEs and slow-fast dynamical systems

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