Limit cycles bifurcating from an invisible fold-fold in planar piecewise Hamiltonian systems

DOI10.1007/s10883-020-09478-2zbMath1485.34111OpenAlexW3009776201MaRDI QIDQ2660559

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

Publication date: 30 March 2021

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-020-09478-2

zbMATH Keywords

regularizationbifurcationlimit cycleHamiltonian vector fieldpiecewise smooth vector fieldfold-fold singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (4)

Impact limit cycles in the planar piecewise linear hybrid systems ⋮ Piecewise smooth systems with a pseudo-focus: a normal form approach ⋮ Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields ⋮ On normal forms and return maps for pseudo-focus points

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