Formal normal forms for the perturbations of a quasi-homogeneous Hamiltonian vector field

DOI10.1023/B:JODS.0000045364.52822.A0zbMath1068.37032OpenAlexW2045389171MaRDI QIDQ1771185

Emmanuel Paul

Publication date: 7 April 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jods.0000045364.52822.a0

zbMATH Keywords

normal formsSingularitiesfoliationsHamiltonian vector fieldsrelative cohomology

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

Complete transversal and formal normal forms of germs of vector fields ⋮ Analytical and formal classifications of quasi-homogeneous foliations in \((\mathbb C^2, 0)\)

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