Four limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a straight line

DOI10.1007/s12346-022-00633-7OpenAlexW4288758310MaRDI QIDQ2162108

Rebiha Benterki, Imane Benabdallah

Publication date: 5 August 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00633-7

zbMATH Keywords

limit cyclefirst integralHamiltonian cubic differential systems with nilpotent saddleslinear differential center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) 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)

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