Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center

DOI10.1007/S10884-006-9036-ZzbMath1116.34033OpenAlexW2168662972MaRDI QIDQ854723

Marco Antonio Teixeira, Jaume Llibre

Publication date: 6 December 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-006-9036-z

zbMATH Keywords

centerperiodic orbitaveraging methodLimit cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29)

Related Items (1)

HYPERBOLIC PERIODIC ORBITS FROM THE BIFURCATION OF A FOUR-DIMENSIONAL NONLINEAR CENTER

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonlinear differential equations and dynamical systems
• Averaging methods for finding periodic orbits via Brouwer degree.
• Bifurcations of periodic orbits, subharmonic solutions and invariant Tori of high-dimensional systems
• PIECEWISE LINEAR FEEDBACK SYSTEMS WITH ARBITRARY NUMBER OF LIMIT CYCLES
• BIFURCATION OF LIMIT CYCLES FROM A FOUR-DIMENSIONAL CENTER IN CONTROL SYSTEMS

This page was built for publication: Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center