Coupled Hénon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions

2023/03/13 by Jizhou Li, Li, Jizhou, Keisuke Fujioka +3
Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Advanced Mathematical Theories and Applications #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2303.06824

openalex publication_date 2023/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As a continuation of a previous paper (arXiv:2303.05769 [nlin.CD]), we introduce examples of Hénon-type mappings that exhibit new horseshoe topologies in three and four dimensional spaces that are otherwise impossible in two dimensions.

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