Linearizations of ordinary differential equations by area preserving maps

DOI10.1017/S002776300000708XzbMath0952.34039MaRDI QIDQ4487341

Hajime Sato, Tetsuya Ozawa

Publication date: 15 January 2001

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integrability conditionordinary differential equationcontact formChristoffel symbolsarea preserving mapflatness of covariant derivative

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (2)

The Cartan-Tresse linearization polynomial and applications ⋮ Second order ODEs under area-preserving maps

Cites Work

• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents

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