Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems

DOI10.1016/J.JMAA.2019.123692zbMath1430.37062OpenAlexW2991401480WikidataQ126768508 ScholiaQ126768508MaRDI QIDQ2287286

Luis Fernando Mello, L. F. Gonçalves, Alexander Fernandes da Fonseca, Denis de Carvalho Braga

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123692

zbMATH Keywords

bifurcationlimit cycleHamiltonian vector fieldpiecewise smooth vector fieldfold-fold singularity

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (6)

Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems ⋮ Pseudo-Bautin Bifurcation in 3D Filippov Systems ⋮ On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point ⋮ Piecewise smooth systems with a pseudo-focus: a normal form approach ⋮ On normal forms and return maps for pseudo-focus points ⋮ Limit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical Points

Cites Work

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• Generic bifurcations of low codimension of planar Filippov systems
• Regularization around a generic codimension one fold-fold singularity
• Piecewise-smooth dynamical systems. Theory and applications
• One-Parameter Bifurcations in Planar Filippov Systems
• Ordinary Differential Equations with Applications
• Degenerate Hopf bifurcations in discontinuous planar systems

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