caa a22 4500 606166513 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10440-014-9881-4 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9881-4 Limit Cycles Bifurcations for a Class of 3-Dimensional Quadratic Systems [Elektronische Daten] [Chaoxiong Du, Qinlong Wang, Yirong Liu] Our work is concerned with the Hopf bifurcation for a class of 3-dimensional quadratic symmetric vector field. By making use of singular values methods and computing carefully, we give the expressions of the first four focal values of the two singular point that system has. Both singular symmetric points can become fine foci of fourth order at the same time. Moreover, we obtain that from each one can bifurcate 4 small limit cycles under a certain coefficients' perturbed condition, consequently, at most eight limit cycles can appear by simultaneous Hopf bifurcation. Springer Science+Business Media Dordrecht, 2014 3-Dimensional quadratic system nationallicence Hopf bifurcation nationallicence Singular values nationallicence Limitcycles nationallicence Du Chaoxiong Department of Mathematics, Hunan Shaoyang University, 422000, Shaoyang, Hunan, P.R. China aut Wang Qinlong Department of Mathematics, Hezhou University, 542800, Hezhou, Guangxi, P.R. China aut Liu Yirong School of Mathematics, Central South University, 410075, Changsha, Hunan, P.R. China aut Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 1-18 0167-8019 136:1<1 2015 136 10440 https://doi.org/10.1007/s10440-014-9881-4 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/s10440-014-9881-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Du Chaoxiong Department of Mathematics, Hunan Shaoyang University, 422000, Shaoyang, Hunan, P.R. China aut NATIONALLICENCE 700 1- Wang Qinlong Department of Mathematics, Hezhou University, 542800, Hezhou, Guangxi, P.R. China aut NATIONALLICENCE 700 1- Liu Yirong School of Mathematics, Central South University, 410075, Changsha, Hunan, P.R. China aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 1-18 0167-8019 136:1<1 2015 136 10440