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nlin.CD2023
Coupled Hénon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions
Jizhou Li, Keisuke Fujioka, Akira Shudo
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…
nlin.CD2023
Coupled Hénon Map, Part I: Topological Horseshoes and Uniform Hyperbolicity
Keisuke Fujioka, Ryota Kogawa, Jizhou Li +1
We derive a sufficient condition for topological horseshoe and uniform hyperbolicity of a 4-dimensional symplectic map, which is introduced by coupling the two 2-dimensional Hénon…