Infinitesimal perturbations of rational maps

Open Access

18 March 2002

journal article
Published by IOP Publishing in Nonlinearity

Vol. 15 (3) , 695-704
https://doi.org/10.1088/0951-7715/15/3/310

Abstract

We analyse the infinitesimal effect of holomorphic perturbations of the dynamics of a structurally stable rational map on a neighbourhood of its Julia set. This implies some restrictions on the behaviour of critical points.

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