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20032026
most citedA Computational Procedure to Detect a New Type of High Dimensional Chaotic Saddle and its Application to the 3-D Hill's Problem

57 citations · 85 across the 12 of their papers we have counts for

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Showing 2021Show all

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math.DS2021★ 2 cited

Rigorous computer-assisted bounds on renormalisation fixed point functions, eigenfunctions, and universal constants

Andrew D Burbanks, Andrew H Osbaldestin, Judi A Thurlby

We gain tight rigorous bounds on the renormalisation fixed point function for period doubling in families of unimodal maps with degree 2 critical point. By writing the relevant eig…

math.DS2021

Rigorous bounds on the Hausdorff dimension of Feigenbaum attractors

Andrew D Burbanks, Andrew H Osbaldestin, Judi A Thurlby

We calculate rigorous bounds on the Hausdorff dimension of the attractor at the accumulation of the period-doubling cascade for families of maps with quadratic, cubic, and quartic…