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 syste...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.展开更多
This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the pe...This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the period annulus surrounding the center of the unperturbed system is given.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11701306,11671040 and 11601250)Higher Educational Science Program of Ningxia(Grant No.NGY201789)+1 种基金Construction of First-class Disciplines of Higher Education of Ningxia(pedagogy)(Grant No.NXYLXK2017B11)Key Program of Ningxia Normal University(Grant No.NXSFZD1708)。
文摘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.
基金supported by National Natural Science Foundation of China (Grant Nos.11126318, 11201086 and 11171355) the Ph.D. Programs Foundation of Ministry of Education of China (GrantNo. 20100171110040)
文摘This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the period annulus surrounding the center of the unperturbed system is given.
