Local cyclicity in low degree planar piecewise polynomial vector fields

DOI10.1016/j.nonrwa.2020.103278zbMath1477.34060OpenAlexW3128478079MaRDI QIDQ2025881

Luiz F. S. Gouveia, Joan Torregrosa

Publication date: 17 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103278

zbMATH Keywords

Lyapunov quantitiespiecewise vector fieldpiecewise center cyclicity

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System ⋮ Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems ⋮ The local cyclicity problem: Melnikov method using Lyapunov constants ⋮ Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line ⋮ On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point

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