English

Coupled H\'enon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions

Chaotic Dynamics 2023-03-14 v1 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.2303.06824,
  title  = {Coupled H\'enon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions},
  author = {Jizhou Li and Keisuke Fujioka and Akira Shudo},
  journal= {arXiv preprint arXiv:2303.06824},
  year   = {2023}
}

Comments

39 pages, 19 figures