Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields

DOI10.1016/j.jde.2021.08.008zbMath1477.34055arXiv2010.00497OpenAlexW3090035714MaRDI QIDQ1981746

Leandro A. Silva, Douglas Duarte Novaes

Publication date: 6 September 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00497

zbMATH Keywords

limit cyclescenter-focus problemLyapunov coefficientsFilippov vector fieldsmonodromic tangential singularities

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items (9)

On the non-existence of isochronous tangential centers in Filippov vector fields ⋮ Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems ⋮ Monodromy and Dulac's problem for piecewise analytical planar vector fields ⋮ On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point ⋮ Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region ⋮ A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness ⋮ On partial maps derived from flows ⋮ Piecewise smooth systems with a pseudo-focus: a normal form approach ⋮ On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set

Uses Software

• Mathematica

Cites Work

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