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Dynamics of a continuous Hénon model
Author(s) -
Caraballo Tomás,
Colucci Renato,
Guerrini Luca
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4878
Subject(s) - mathematics , continuous modelling , attractor , limit (mathematics) , chaotic , dynamics (music) , discrete modelling , discrete time and continuous time , statistical physics , mathematical analysis , discrete system , computer science , algorithm , physics , statistics , acoustics , artificial intelligence
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.