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Dynamics of a continuous Hénon model


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Author: Caraballo Garrido, Tomás
Colucci, Renato
Guerrini, Luca
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018
Published in: Mathematical Methods in the Applied Sciences, 41, 3934-3954.
Document type: Article
Abstract: We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the dynamics of the continuous model is trivial, we are able to recover the complexity of the discrete model by the introduction of time delays. In particular high period limit cycles and chaotic attractors are observed. We illustrate the results with some numerical simulations.
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DOI: 10.1002/mma.4878

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