Journal
PHYSICS LETTERS A
Volume 379, Issue 43-44, Pages 2845-2847Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2015.09.021
Keywords
Farey tree; Hindmarsh-Rose model; Devil's Staircase; Arnold tongues
Categories
Funding
- 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
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available