Number and amplitude of limit cycles emerging from topologically equivalent perturbed centers.

DOI10.1016/S0960-0779(02)00474-5zbMath1098.34022arXivnlin/0210024OpenAlexW2053369321MaRDI QIDQ1419311

José Luis López, Ricardo López-Ruiz

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210024

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (4)

Approximating the amplitude and form of limit cycles in the weakly nonlinear regime of Liénard systems ⋮ Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity ⋮ Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic ⋮ Piecewise-linearized methods for oscillators with limit cycles

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• The number of limit cycles due to polynomial perturbations of the harmonic oscillator
• BIFURCATION CURVES OF LIMIT CYCLES IN SOME LIÉNARD SYSTEMS

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