Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 41, Issue 10, Pages 3934-3954Publisher
WILEY
DOI: 10.1002/mma.4878
Keywords
chaotic systems; delay differential equations; Henon map
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Funding
- MINECO/FEDER, EU [MTM2015-63723-P]
- Consejeria de Innovacion, Ciencia y Empresa (Junta de Andalucia) [2010/FQM314]
- Proyecto de Excelencia [P12-FQM-1492]
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We study a continuous Henon 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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