Journal of Applied Analysis & Computation · 2015 · 76 citations · 11 references
Natural SciencesPhysicsDynamical SystemsBifurcation TheoryChaos TheoryContinuous Dynamical SystemsHamiltonian SystemsLimit CyclesNonlinear DynamicsBifurcationBifurcation Of Limit CyclesHamiltonian Bifurcation TheoryLimit Cycle DynamicsPiecewise Smooth MapsPiecewise-smooth Dynamical SystemsPiecewise-smooth SystemsStability Of Limit Cycles
In this short paper, we present some remarks on the role of the first order Melnikov functions in studying the number of limit cycles of piecewise smooth near-Hamiltonian systems on the plane.
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On Hopf bifurcation in non-smooth planar systems
Maoan Han, Weinian Zhang · Journal of Differential Equations · 2009 · 276 citations