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- W2002002014 abstract "Abstract In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of seventh degree system are investigated. With the help of computer algebra system MATHEMATICA, the first 12 quasi Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there exist 12 small amplitude limit cycles created from the three order nilpotent critical point is also proved. Henceforth we give a lower bound of cyclicity of three-order nilpotent critical point for seventh degree Lyapunov systems." @default.
- W2002002014 created "2016-06-24" @default.
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- W2002002014 date "2011-06-01" @default.
- W2002002014 modified "2023-09-25" @default.
- W2002002014 title "Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a seventh degree Lyapunov system" @default.
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- W2002002014 doi "https://doi.org/10.1016/j.cnsns.2010.06.017" @default.
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