Constructing solutions for the generalized Hénon-Heiles system through the Painlevé test

DOI10.1023/A:1024074702960zbMath1178.37054arXivmath-ph/0209063MaRDI QIDQ2654892

Yanyan Li

Publication date: 21 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0209063

zbMATH Keywords

elliptic functionsHénon-Heiles systemLaurent seriesPainlevé testsingularity analysispolynomial potentialnonintegrable systems

Mathematics Subject Classification ID

Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (5)

Exact solutions and critical chaos in dilaton gravity with a boundary ⋮ Construction of exact partial solutions of nonintegrable systems by means of formal Laurent and Puiseux series ⋮ Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations ⋮ Elliptic solutions in the Hénon-Heiles model ⋮ Proof of the absence of elliptic solutions of the cubic complex Ginzburg-Landau equation

Uses Software

• REDUCE

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