On systems of differential equations of order two with fixed branch points

DOI10.3792/pjaa.56.445zbMath0495.34021OpenAlexW2052156485MaRDI QIDQ1169601

Tizuko Matuda, Tosihusa Kimura

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.445

zbMATH Keywords

Hamiltonian systemPainleve systemsreduction to canonical form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05)

Related Items

New contributions to the related work of Paul Appell, Lazarus Fuchs, Georg Hamel, and Paul Painlevé on nonlinear differential equations whose solutions are free of movable branch points ⋮ Polynomial Hamiltonian systems with movable algebraic singularities ⋮ Quadratic differential equations in three variables without multivalued solutions. I

Cites Work

• Polynomial Hamiltonians associated with Painleve equations. I
• Sur des systèmes différentiels du second ordre dont l'intégrale générale est uniforme
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