Bifurcation phenomenon of a class of planar codimension 3 polycycleS (2) with two saddles resonating |
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| Authors: | Baoyi Li Zhifen Zhang |
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| Affiliation: | (1) Department of Mathematics, Tianjin Normal University, 300074 Tianjin, China;(2) Institute of Mathematics, Peking University, 100871 Beijing, China |
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| Abstract: | By means of finitely-smooth normal form theory and the method of infinitesimal analysis, it is proved that the cyclicity of a planar codimension 3 polycycleS(2) is three and the complete bifurcation diagram is provided. Project supported by the National Natural Science Foundation of China and the DEPF of China. |
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| Keywords: | polycycle cyclicity finitely-smooth normal form |
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