Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps

DOI10.1137/22M1504986zbMath1525.37025arXiv2011.12264OpenAlexW4385335509MaRDI QIDQ6112548

Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke

Publication date: 7 August 2023

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12264

zbMATH Keywords

thicknessHausdorff dimensionCantor setshorseshoe mapheterodimensional cycles

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dimension theory of smooth dynamical systems (37C45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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