Limit cycle bifurcations in perturbations of planar piecewise smooth systems with multiply lines of critical points

DOI10.1016/j.jmaa.2019.01.039zbMath1433.34048OpenAlexW2913727013WikidataQ128546053 ScholiaQ128546053MaRDI QIDQ2414815

Yanqin Xiong, Jianqiang Hu

Publication date: 17 May 2019

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.2019.01.039

zbMATH Keywords

limit cycleperiodic orbitfirst-order Melnikov functionpiecewise differential systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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