Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree

DOI10.3934/dcds.2017142zbMath1362.34050OpenAlexW2594619729MaRDI QIDQ515261

Otávio M. L. Gomide, Ricardo Miranda Martins

Publication date: 13 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017142

zbMATH Keywords

limit cycleaveraging methodnonlinear center

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) 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 (2)

The quantitative analysis of homoclinic orbits from quadratic isochronous systems ⋮ Bifurcations of limit cycles in complex networks of Hamiltonian systems and Lloyd's conjecture

Cites Work

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