Bifurcation of limit cycles for a family of perturbed Kukles differential systems

DOI10.3934/dcds.2018182zbMath1400.34046OpenAlexW2807581370WikidataQ129691326 ScholiaQ129691326MaRDI QIDQ1661160

Salomón Rebollo-Perdomo, Claudio Vidal

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.3934/dcds.2018182

zbMATH Keywords

limit cycleperiodic orbitquadratic systemaveraging theoryKukles system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Solutions of neutral delay differential equations using a generalized Lambert \(W\) function ⋮ A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point ⋮ The Riemann surface of the \(r\)-Lambert function ⋮ Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function ⋮ Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point

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