Dynamical properties of the horseshoe map

Afrika Matematika 2026 Open access

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Authors: Alejandro Cardona Zapata, Oscar Iván Giraldo Galeano, José Gregorio Rodríguez-Nieto
DOI: 10.1007/s13370-025-01408-4
Cited by: 0
References: 9

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Topology and Set Theory Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
Afrika Matematika
Volume
37
Issue
1
Publication date
16 February 2026
Language
EN