Dynamics of a continuous Hénon model

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. Ministerio de Economía y Competitividad Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía)