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About Chaotic Dynamics in the Twisted Horseshoe Map

Elisa Sovrano

Department of Mathematics and Computer Science, University of Udine, via Delle Scienze 206, 33100 Udine, Italy

E-mail Address: sovrano.elisa@spes.uniud.it

https://doi.org/10.1142/S0218127416500929Cited by:2 (Source: Crossref)

Abstract

The twisted horseshoe map was developed in order to study a class of density dependent Leslie population models with two age classes. From the beginning, scientists have tried to prove that this map presents chaotic dynamics. Some demonstrations that have appeared in mathematical literature present some difficulties or delicate issues. In this paper, we give a simple and rigorous proof based on a different approach. We also highlight the possibility of getting chaotic dynamics for a broader class of maps.

Keywords:

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