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Integrability properties of a generalized Lamé equation: Applications to the Hénon-Heiles system

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Publication:1381209
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DOI10.4310/MAA.1997.v4.n2.a1zbMath0897.34004OpenAlexW2728075447MaRDI QIDQ1381209

Rodica D. Costin

Publication date: 6 October 1998

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1997.v4.n2.a1


zbMATH Keywords

monodromy groupHénon-Heiles systemnonintegrabilitybranchingholomorphic first integralpoly-Painlevé property


Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)


Related Items (2)

Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractals ⋮ Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials




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