Limit cycles bifurcating from a two-dimensional isochronous cylinder

DOI10.1016/j.aml.2009.01.035zbMath1173.37326OpenAlexW1992853382MaRDI QIDQ1033077

Jaume Llibre, Marco Antonio Teixeira

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.035

zbMATH Keywords

isochronous centercenterlimit cycleperiodic orbitaveraging method

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (8)

Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder ⋮ Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ New nonlinear controller for a class of chaotic systems based on adaptive backstepping fuzzy-immune control ⋮ Limit cycles of linear vector fields on \(( \mathbb{S}^2)^m \times \mathbb{R}^N\) ⋮ Limit Cycles Bifurcating from a 2-Dimensional Isochronous Torus in ℝ³ ⋮ Limit cycles for a variant of a generalized Riccati equation ⋮ Limit cycles bifurcating from isochronous surfaces of revolution in \(\mathbb R^3\) ⋮ BIFURCATION OF ONE-PARAMETER PERIODIC ORBITS OF THREE-DIMENSIONAL DIFFERENTIAL SYSTEMS

Cites Work

• Limit cycles of differential equations
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Limit cycles bifurcating from a \(k\)-dimensional isochronous center contained in \(\mathbb R^n\) with \(k\leqslant n\)
• Averaging methods in nonlinear dynamical systems
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