Abstract
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.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 11701306, 11671040 and 11601250), Higher Educational Science Program of Ningxia (Grant No. NGY201789), Construction of First-class Disciplines of Higher Education of Ningxia (pedagogy) (Grant No. NXYLXK2017B11) and Key Program of Ningxia Normal University (Grant No. NXSFZD1708).
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Yang, J. Bifurcation of limit cycles of the nongeneric quadratic reversible system with discontinuous perturbations. Sci. China Math. 63, 873–886 (2020). https://doi.org/10.1007/s11425-018-9405-4
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DOI: https://doi.org/10.1007/s11425-018-9405-4