Abelian Integrals: From the Tangential 16th Hilbert Problem to the Spherical Pendulum

DOI10.1007/978-3-319-31323-8_15zbMath1365.37050OpenAlexW2512512281MaRDI QIDQ5270279

Dominique Sugny, Léo van Damme, Pavao Mardešić

Publication date: 23 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31323-8_15

zbMATH Keywords

abelian integralsHamiltonian monodromy16th Hilbert problemGauss-mannin monodromy

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)

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