Normal forms for periodic orbits of real vector fields

DOI10.1007/s10114-007-0982-0zbMath1157.34032OpenAlexW1995079079MaRDI QIDQ943519

Ping Wang, Hao Wu, Weigu Li

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0982-0

zbMATH Keywords

normal formfoliationhomotopy methodperiodic orbit

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Foliations in differential topology; geometric theory (57R30) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (3)

Isochronous properties in fractal analysis of some planar vector fields ⋮ SPECTRAL ANALYSIS OF MORSE–SMALE FLOWS I: CONSTRUCTION OF THE ANISOTROPIC SPACES ⋮ Topology of Pollicott-Ruelle resonant states

Cites Work

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• Normally hyperbolic invariant manifolds in dynamical systems
• Integral manifolds of perturbed differential systems
• Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields

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