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- W4387300339 abstract "For any polynomial Rayleigh-Duffing systems x˙=y,y˙=−∑i=0maixi−∑i=0nbiyi+1 with m,n∈N, ai,bi∈R and ambn≠0, we characterize its dynamics near infinity via Poincaré compactification, and verify that all the necessary information is coded in terms of m,n and the sign of am,bn. Here, we provide a new treatment blowing up a degenerate equilibrium via a continued fraction of a rational number. Moreover, a necessary and sufficient condition is obtained for an equilibrium of the system to be a center. As a consequence, we classify all global phase portraits of the Rayleigh-Duffing system on the Poincaré disc that has a unique equilibrium which is a center." @default.
- W4387300339 created "2023-10-04" @default.
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- W4387300339 date "2023-11-01" @default.
- W4387300339 modified "2023-10-13" @default.
- W4387300339 title "Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center" @default.
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- W4387300339 doi "https://doi.org/10.1016/j.aim.2023.109326" @default.
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