International Journal of Bifurcation and Chaos · 2013 · 12 citations · 5 references
Natural SciencesMathematicsPhysicsComplex SystemsDynamical SystemsSystem DynamicsBifurcation TheoryChaos TheoryLimit CyclesNonlinear DynamicsStability TheoryBifurcationBifurcation Of Limit CyclesEquivariant Bifurcation TheoryHeteroclinic BifurcationHeteroclinic CyclesHomoclinic BifurcationHopf BifurcationLower Bounds
In this paper, we consider the problem of limit cycle bifurcation near center points and a Z 2 -equivariant compound cycle in a polynomial Liénard system. Using the methods of Hopf, homoclinic and heteroclinic bifurcation theory, we found some new and better lower bounds of the maximal number of limit cycles for this system.
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