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Research Article | Open Access

The dynamics of coupled logistic maps

Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, 30202, Spain
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Abstract

This paper considers a coupled system given by two logistic maps with the same parameter. We studied the existence and stability of fixed points outside the diagonal and estimated the regions where the synchronization to the diagonal, both chaotic and regular, is possible. Bifurcation scenarios to illustrate the results are also given.

Keywords

coupled systemslogistic mapsynchronizationLyapunov exponentsbifurcations

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Networks and Heterogeneous Media
Volume 18 Issue 1,
March 2023
Pages 275-290
DOI: 10.3934/nhm.2023010

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Cite this article:
Cánovas J. The dynamics of coupled logistic maps. Networks and Heterogeneous Media, 2023, 18(1): 275-290. https://doi.org/10.3934/nhm.2023010

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Received: 03 October 2022
Revised: 24 November 2022
Accepted: 01 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)