J.R. Thompson, Yang Ren Sun, et al.
Physica A: Statistical Mechanics and its Applications
Paper
Chaotic fragmentation in Halley’s paradise
Abstract
Computational and graphical results on Halley's method for one-parameter rational functions of the form β1α− 1 = 0 are presented. Level sets for inf (Hβ0n: N = 1, 2, …) and index (β0) reveal a visually striking and intricate class of patterns indicating behavior ranging from stable points to chaos. © 1989 IOP Publishing Ltd.
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