INVARIANT TORI FULFILLED BY PERIODIC ORBITS FOR FOUR-DIMENSIONAL $\mathcal{C}^2$ DIFFERENTIAL SYSTEMS IN THE PRESENCE OF RESONANCE

DOI10.1142/S0218127410027738zbMath1204.34059MaRDI QIDQ3069934

Jaume Llibre, Marco Antonio Teixeira, Ana Cristina Mereu

Publication date: 2 February 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

centerperiodic orbitresonanceinvariant toriaveraging theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45) Multifrequency systems of ordinary differential equations (34C46)

Related Items (1)

Bifurcation of piecewise smooth manifolds from 3D center-type vector fields

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonlinear differential equations and dynamical systems

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