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• W2040108957 abstract "Given a polynomial or a rational map f we associate to it a space of maps. We introduce local coordinates in this space, which are essentially the set of critical values of the map. Then we consider an arbitrary periodic orbit of f with multiplier rhonot=1 as a function of the local coordinates, and establish a simple connection between the dynamical plane of f and the function rho in the space associated to f. The proof is based on the theory of quasiconformal deformations of rational maps. As a corollary, we show that multipliers of non-repelling periodic orbits are also local coordinates in the space." @default.
• W2040108957 created "2016-06-24" @default.
• W2040108957 creator A5073838813 @default.
• W2040108957 date "2008-09-02" @default.
• W2040108957 modified "2023-09-27" @default.
• W2040108957 title "Multipliers of periodic orbits in spaces of rational maps" @default.
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• W2040108957 hasPublicationYear "2008" @default.
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