On the number of limit cycles of a Z 4-equivariant quintic near-Hamiltonian system
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| 024 | 7 | 0 | |a 10.1007/s10114-015-2117-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-2117-3 | ||
| 245 | 0 | 0 | |a On the number of limit cycles of a Z 4-equivariant quintic near-Hamiltonian system |h [Elektronische Daten] |c [Xian Sun, Mao Han] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Limit cycle |2 nationallicence | |
| 690 | 7 | |a near-Hamiltonian system |2 nationallicence | |
| 690 | 7 | |a heteroclinic loop |2 nationallicence | |
| 690 | 7 | |a Z 4-equivariance |2 nationallicence | |
| 690 | 7 | |a Hopf bifurcation |2 nationallicence | |
| 700 | 1 | |a Sun |D Xian |u Department of Applied Mathematics, Guangxi University of Finance and Economics, 530003, Nanning, P. R. China |4 aut | |
| 700 | 1 | |a Han |D Mao |u The Institute of Mathematics, Shanghai Normal University, 200234, Shanghai, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1805-1824 |x 1439-8516 |q 31:11<1805 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-2117-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-2117-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sun |D Xian |u Department of Applied Mathematics, Guangxi University of Finance and Economics, 530003, Nanning, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Han |D Mao |u The Institute of Mathematics, Shanghai Normal University, 200234, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1805-1824 |x 1439-8516 |q 31:11<1805 |1 2015 |2 31 |o 10114 | ||