caa a22 4500 605462259 CHVBK 20210128100247.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10114-015-2117-3 doi (NATIONALLICENCE)springer-10.1007/s10114-015-2117-3 On the number of limit cycles of a Z 4-equivariant quintic near-Hamiltonian system [Elektronische Daten] [Xian Sun, Mao Han] In this paper, we study the number of limit cycles of a near-Hamiltonian system having Z 4-equivariant quintic perturbations. Using the methods of Hopf and heteroclinic bifurcation theory, we find that the perturbed system can have 28 limit cycles, and its location is also given. The main result can be used to improve the lower bound of the maximal number of limit cycles for some polynomial systems in a previous work, which is the main motivation of the present paper. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Limit cycle nationallicence near-Hamiltonian system nationallicence heteroclinic loop nationallicence Z 4-equivariance nationallicence Hopf bifurcation nationallicence Sun Xian Department of Applied Mathematics, Guangxi University of Finance and Economics, 530003, Nanning, P. R. China aut Han Mao The Institute of Mathematics, Shanghai Normal University, 200234, Shanghai, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/11(2015-11-01), 1805-1824 1439-8516 31:11<1805 2015 31 10114 https://doi.org/10.1007/s10114-015-2117-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-2117-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sun Xian Department of Applied Mathematics, Guangxi University of Finance and Economics, 530003, Nanning, P. R. China aut NATIONALLICENCE 700 1- Han Mao The Institute of Mathematics, Shanghai Normal University, 200234, Shanghai, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/11(2015-11-01), 1805-1824 1439-8516 31:11<1805 2015 31 10114