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math.DS2022
The number of relative equilibria in the PCR4PB
Jordi-Lluís Figueras, Warwick Tucker, Piotr Zgliczynski
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial…
math.DS2022
Lower bounds on the Hausdorff dimension of some Julia sets
Artem Dudko, Igors Gorbovickis, Warwick Tucker
We present an algorithm for a rigorous computation of lower bounds on the Hausdorff dimensions of Julia sets for a wide class of holomorphic maps. We apply this algorithm to obtain…