Approximate generalized symmetries, normal forms and approximate first integrals

DOI10.1016/S0375-9601(00)00220-6zbMath1115.37341OpenAlexW4240773523MaRDI QIDQ5901333

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Publication date: 8 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00220-6

zbMATH Keywords

normal formsKAM theoremresonance conditionsapproximate first integralssymmetry-breakingapproximate Noether's theoremapproximate generalized symmetry vector fields

Mathematics Subject Classification ID

Related Items (10)

Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems ⋮ Approximate first integrals of the Hénon-Heiles system revisited ⋮ Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes ⋮ Generalization of approximate partial Noether approach in phase space ⋮ Cylindrically symmetric gravitational-wavelike space-times ⋮ Approximate Partial Noether Operators of the Schwarzschild Spacetime ⋮ Approximate partial Noether operators and first integrals for cubically coupled nonlinear Duffing oscillators subject to a periodically driven force ⋮ The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems ⋮ First integrals and analytical solutions of some dynamical systems ⋮ Approximate partial Noether operators and first integrals for coupled nonlinear oscillators

Cites Work

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• Perturbation methods in group analysis
• Regular and chaotic dynamics.
• Normal form, symmetry and infinite-dimensional Lie algebra for system of ODEs
• Approximate Noether symmetries
• On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter
• Closed orbits and their stable symmetries

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