On the birth of minimal sets for perturbed reversible vector fields

DOI10.3934/dcds.2011.31.763zbMath1241.34057OpenAlexW2012928520MaRDI QIDQ652205

Ricardo Miranda Martins, Jaume Llibre, Marco Antonio Teixeira

Publication date: 13 December 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.31.763

zbMATH Keywords

normal formaveraging theoryinvariant torusfamily of periodic solutionsreversible four-dimensional systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45)

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