Normal forms and the multiple-times expansion method for finite-dimensional integrable Hamiltonian systems

DOI10.1080/00207160701332739zbMath1128.37039OpenAlexW2099134090MaRDI QIDQ5431625

Filiz Tascan, Mehmet Naci Özer

Publication date: 12 December 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701332739

zbMATH Keywords

normal formsrecursion operatorfinite-dimensional integrable Hamiltonian systemsmultiple-times expansoin method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Uses Software

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Cites Work

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• Normal form, symmetry and infinite-dimensional Lie algebra for system of ODEs
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes

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