Polynomial Hamiltonian systems with movable algebraic singularities

DOI10.1007/s11854-016-0020-1zbMath1360.34182arXiv1312.4030OpenAlexW2515303682MaRDI QIDQ327603

Thomas Kecker

Publication date: 19 October 2016

Published in: Journal d'Analyse Mathématique, Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4030

zbMATH Keywords

Hamiltonian systemmovable singularitiesalgebraic branch pointmovable singularitysolutions of ODEs

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

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Regularising transformations for complex differential equations with movable algebraic singularities ⋮ A cubic Hamiltonian system with meromorphic solutions ⋮ On Hamiltonian structures of quasi-Painlevé equations ⋮ Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics ⋮ Space of initial conditions for a cubic Hamiltonian system ⋮ Malmquist-type theorems for cubic Hamiltonians ⋮ An old new class of meromorphic functions ⋮ On singularities of certain non-linear second-order ordinary differential equations

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