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- W2037429668 abstract "In this paper, we study the bifurcation of limit cycles from fine focus in Zn-equivariant vector fields. An approach for investigating bifurcation was obtained. In order to show our work is efficacious, an example on bifurcations behavior is given, namely five order singular points values are given in the seventh degree Z8-equivariant systems. We discuss their bifurcation behavior of limit cycles, and show that there are eight fine focuses of five order and five small amplitude limit cycles can bifurcate from each. So 40 small amplitude limit cycles can bifurcate from eight fine focuses under a certain condition. In terms of the number of limit cycles for seventh degree Z8-equivariant systems, our results are good and interesting." @default.
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- W2037429668 date "2010-11-01" @default.
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- W2037429668 title "The bifurcation of limit cycles in Zn-equivariant vector fields" @default.
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- W2037429668 doi "https://doi.org/10.1016/j.amc.2010.07.005" @default.
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