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• W2806516446 abstract "In this paper, we study the dynamics of Newton maps for arbitrary polynomials. Let $p$ be an arbitrary polynomial with at least three distinct roots, and $f$ be its Newton map. It is shown that the boundary $partial B$ of any immediate root basin $B$ of $f$ is locally connected. Moreover, $partial B$ is a Jordan curve if and only if ${rm deg}(f|_B)=2$. This implies that the boundaries of all components of root basins, for all polynomials' Newton maps, from the viewpoint of topology, are tame." @default.
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• W2806516446 date "2018-05-29" @default.
• W2806516446 modified "2023-09-27" @default.
• W2806516446 title "Dynamics of Newton maps" @default.
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