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Updated: Jul 2, 2025

Using the Horseshoe Crab, Limulus Polyphemus, in Vision Research
Published on: July 3, 2009
An "Observable" horseshoe map
Xu Zhang1, Yukai Wang1, Guanrong Chen2
1Department of Mathematics, Shandong University, Weihai, Shandong 264209, China.
Abstract:
In this article, a family of diffeomorphisms with growing horseshoes contained in global attracting regions is presented, where the dimension of the unstable direction can be any fixed integer and a growing horseshoe means that the number of the folds of the horseshoe is increasing as a parameter is varied. Moreover, it is demonstrated that the horseshoe-like attractors are observable for certain parameters.
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