Analytical approach for simplifying dynamical systems of polynomial type.
DOI10.1016/S0378-4754(01)00344-5zbMath1076.34040MaRDI QIDQ5950183
Patricia Yanguas, Jesús F. Palacián
Publication date: 2001
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Hamiltonian systemsAsymptotic symmetriesFirst integralsLie transformationsPoincaré-Birkhoff normal formPolynomial vector fieldsReduced phase spaces
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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