Limit cycles bifurcate from centers of discontinuous quadratic systems

From MaRDI portal
Publication:604008

DOI10.1016/j.camwa.2010.04.019zbMath1198.34044OpenAlexW1972152369MaRDI QIDQ604008

Xingwu Chen, Zhengdong Du

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.019




Related Items (45)

Bifurcation of limit cycles for a perturbed piecewise quadratic differential systemsOn the number of limit cycles in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loopEighteen limit cycles around two symmetric foci in a cubic planar switching polynomial systemLimit cycles for discontinuous quadratic differential switching systemsBifurcation analysis on a class of \(Z_{2}\)-equivariant cubic switching systems showing eighteen limit cyclesBifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systemsLimit Cycles from Hopf Bifurcation in Nongeneric Quadratic Reversible Systems with Piecewise PerturbationsBifurcation Analysis for a Class of Cubic Switching SystemsLimit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systemsCenters and isochronous centers of a class of quasi-analytic switching systemsAveraging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systemsLimit cycles in a class of switching system with a degenerate singular pointBifurcation of limit cycles at infinity in a class of switching systemsOn the limit cycles for continuous and discontinuous cubic differential systemsThe center problem on piecewise smooth differential systems with two zonesOn the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical pointBifurcation of Limit Cycles from a Class of Piecewise Smooth Systems with Two Vertical Straight Lines of SingularityBifurcation of Nonhyperbolic Limit Cycles in Piecewise Smooth Planar Systems with Finitely Many ZonesBi-center conditions and local bifurcation of critical periods in a switching \(Z_2\) equivariant cubic systemCenter and isochronous center conditions for switching systems associated with elementary singular pointsOn limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systemsBifurcation of limit cycles at infinity in piecewise polynomial systemsBifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loopBifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systemsUnnamed ItemUnnamed ItemIsochronicity of centers in a switching Bautin systemNon-smooth quadratic centers defined in two arbitrary sectorsDegenerate Hopf bifurcations in a family of FF-type switching systemsOn the limit cycles of perturbed discontinuous planar systems with 4 switching linesLimit cycles bifurcating from piecewise quadratic systems separated by a straight lineLimit cycles and invariant curves in a class of switching systems with degree fourLimit Cycles Near a Piecewise Smooth Generalized Homoclinic Loop with a Nonelementary Singular PointLimit cycles in small perturbations of a planar piecewise linear Hamiltonian system with a non-regular separation lineNormal forms of planar switching systemsBifurcation of Periodic Orbits Crossing Switching Manifolds Multiple Times in Planar Piecewise Smooth SystemsLimit Cycle Bifurcations Near a Piecewise Smooth Generalized Homoclinic Loop with a Saddle-Fold PointBifurcation Analysis of Planar Piecewise Linear System with Different DynamicsLimit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical PointsStability and Limit Cycle Bifurcation for Two Kinds of Generalized Double Homoclinic Loops in Planar Piecewise Smooth SystemsLimit cycles in a switching Liénard systemLimit cycles for discontinuous quadratic differential systems with two zonesCenter conditions in a switching Bautin systemA linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential systemLimit cycle bifurcations in a planar piecewise quadratic system with multiple parameters



Cites Work


This page was built for publication: Limit cycles bifurcate from centers of discontinuous quadratic systems