Approximate first integrals of the Hénon-Heiles system revisited

DOI10.1016/S1007-5704(03)00063-7zbMath1058.37045MaRDI QIDQ1883513

Gazanfer Ünal, Chaudry Masood Khalique

Publication date: 12 October 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Noether's theoremHamiltonian dynamical systemsResonancesApproximate Noether symmetries

Mathematics Subject Classification ID

Hamilton's equations (70H05) Second-order elliptic equations (35J15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

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• Regular and chaotic dynamics.
• Approximate first integrals of a galaxy model
• APPROXIMATE SYMMETRIES
• Approximate generalized symmetries, normal forms and approximate first integrals
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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