Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
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We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients. As a consequence, the bifurcation diagrams, illustrating the number, types and positions of the bifurcating small amplitude crossing limit cycles for these vector fields, are determined.
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Bifurcation, Fold-fold singularity, Hamiltonian vector field, Limit cycle, Piecewise smooth vector field
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Inglês
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Journal of Mathematical Analysis and Applications, v. 484, n. 1, 2020.
