Small amplitude limit cycles for the polynomial Liénard system

DOI10.1016/j.jde.2008.07.032zbMath1160.34026OpenAlexW2088587478MaRDI QIDQ952102

Henryk Żołądek, Marciej Borodzik

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.07.032

zbMATH Keywords

singular pointslimit cyclesLiénard equationdouble points of rational affine curves

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (3)

Bifurcations of limit cycles in equivariant quintic planar vector fields ⋮ The number of small amplitude limit cycles in arbitrary polynomial systems ⋮ HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS

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• Small-amplitude limit cycles in polynomial Liénard systems
• Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
• Singular Points of Complex Hypersurfaces. (AM-61)

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