Dynamical properties of the horseshoe map

Abstract In this paper we present an alternative proof that the horseshoe map inherits the dynamical properties of the shift map by using the Cantor map and an equivalence relation defined on the Cantor sets on the unit rectangle.

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Publication Details

Journal
Afrika Matematika
Published
2026-02-16
DOI
https://doi.org/10.1007/s13370-025-01408-4
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
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article

Dynamical properties of the horseshoe map

Oscar Iván Giraldo Galeano, Alejandro Cardona Zapata, José Gregorio Rodríguez-Nieto
Afrika Matematika
Mathematical Dynamics and Fractals
article

Dynamical properties of the horseshoe map

Oscar Iván Giraldo Galeano, Alejandro Cardona Zapata, José Gregorio Rodríguez-Nieto
article en

Abstract

Abstract In this paper we present an alternative proof that the horseshoe map inherits the dynamical properties of the shift map by using the Cantor map and an equivalence relation defined on the Cantor sets on the unit rectangle.

Afrika MatematikaVol. 37(1)
Universidad Nacional de Colombia (CO)
Reduced inequalities
Openalex Percentile: Top 49%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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