Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary

DOI10.1016/j.physd.2021.132855zbMath1493.34096OpenAlexW3128126769MaRDI QIDQ2077883

Tao Li, Jaume Llibre

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132855

zbMATH Keywords

limit cyclesaveraging methodLiénard systemsHilbert's 16th problemdiscontinuous piecewise polynomial systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) 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

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory ⋮ Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems ⋮ Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\) ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

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