Generalized normal forms for polynomial vector fields

DOI10.1016/S0021-7824(00)00178-1zbMath1019.37032OpenAlexW2318271847MaRDI QIDQ1606238

Patricia Yanguas, Jesús F. Palacián

Publication date: 24 July 2002

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)00178-1

zbMATH Keywords

normal formsHamiltoniansreductionsfirst integralspolynomial vector fieldsformal symmetriesreduced phase spaces

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) General perturbation schemes for nonlinear problems in mechanics (70K60) Normal forms for dynamical systems (37G05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (6)

Normal forms of double Hopf oscillators with radial nonlinearities ⋮ Dissipative-Hamiltonian decomposition of smooth vector fields based on symmetries ⋮ Invariant manifolds of an autonomous ordinary differential equation from its generalized normal forms ⋮ Analytical approach for simplifying dynamical systems of polynomial type. ⋮ Equivariant N-Dof Hamiltonians Via Generalized Normal Forms ⋮ PERIODIC ORBITS OF THE LORENZ SYSTEM THROUGH PERTURBATION THEORY

Uses Software

• Mathematica

Cites Work

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