Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\)

DOI10.1023/B:JODS.0000045362.42314.60zbMath1068.37030MaRDI QIDQ1771182

Colin Christopher, Christiane Rousseau, Pavao Mardešić

Publication date: 7 April 2005

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

zbMATH Keywords

conjugacyvector fieldnormal formfoliationPoincaré theoremsynchronicity condition

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations of infinite order (34A35) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (7)

Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle ⋮ Local analytic reduction of families of diffeomorphisms ⋮ EXPLICIT DERIVATION OF RETURN MAPS FOR PLANAR VECTOR FIELDS WITH NILPOTENT LINEAR PART WITH A CENTER OR A FOCUS ⋮ Temporally normalizable generic unfoldings of order-1 weak foci ⋮ Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance ⋮ The return map for a planar vector field with nilpotent linear part: a direct and explicit derivation ⋮ Linearizability conditions of time-reversible cubic systems

This page was built for publication: Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\)