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Article
Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
Author/s | Caraballo Garrido, Tomás
Colucci, Renato Guerrini, Luca |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2019-06 |
Deposit Date | 2019-07-01 |
Published in |
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Abstract | In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain ... In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain an approximation of the periodic orbits generated by the Hopf bifurcation. Moreover, we propose and analyse a more general model containing distributed time delay. Finally, we propose some ideas for further study. All the theoretical results are supported and illustrated by numerical simulations. |
Project ID. | 2010/FQM314
MTM2015-63723-P P12-FQM-1492 |
Citation | Caraballo Garrido, T., Colucci, R. y Guerrini, L. (2019). Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study. Discrete and Continuous Dynamical Systems - Series B, 24 (6), 2639-2655. |
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bifurcation.pdf | 980.8Kb | [PDF] | View/ | |