Yang, Jihua Bifurcation of limit cycles of the nongeneric quadratic reversible system with discontinuous perturbations. (English) Zbl 1510.34079 Sci. China, Math. 63, No. 5, 873-886 (2020). Summary: By using the Picard-Fuchs equation and the property of the Chebyshev space to the discontinuous differential system, we obtain an upper bound of the number of limit cycles for the nongeneric quadratic reversible system when it is perturbed inside all discontinuous polynomials with degree \(n\). Cited in 3 Documents MSC: 34C23 Bifurcation theory for ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations 34A36 Discontinuous ordinary differential equations 34E10 Perturbations, asymptotics of solutions to ordinary differential equations 34C14 Symmetries, invariants of ordinary differential equations Keywords:quadratic reversible system; Melnikov function; Picard-Fuchs equation; Chebyshev space PDFBibTeX XMLCite \textit{J. Yang}, Sci. 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