期刊
PHYSICS LETTERS A
卷 379, 期 43-44, 页码 2845-2847出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2015.09.021
关键词
Farey tree; Hindmarsh-Rose model; Devil's Staircase; Arnold tongues
资金
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico - CNPq, Brazilian Agency
- Fundacao de Amparo a Pesquisa e Inovacao do Estado de Santa Catarina - FAPESC, Brazilian Agency
We investigate a three-dimensional discrete-time dynamical system, described by a three-dimensional map derived from a continuous-time Hindmarsh-Rose neuron model by the forward Euler method. For a fixed integration step size, we report a two-dimensional parameter-space for this system, where periodic structures, the so-called Arnold tongues, can be seen with periods organized in a Farey tree sequence. We also report possible modifications in this parameter-space, as a function of the integration step size. (C) 2015 Elsevier B.V. All rights reserved.
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