1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
1 : 3 resonance of a two-dimensional discrete Hindmarsh-Rose model isdiscussed by normal form method and bifurcation theory.
Numerical simulations are presented toillustrate the theoretical analysis, which predict the occurrence of a closed invariant circle, period-threesaddle cycle, and homoclinic structure.
Furthermore, it also displays the complex dynamicalbehaviors, especially the transitions between three main dynamical behaviors, namely, quiescence,spiking, and bursting.
American Psychological Association (APA)
Li, Bo& He, Zhimin. 2014. 1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039797
Modern Language Association (MLA)
Li, Bo& He, Zhimin. 1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1039797
American Medical Association (AMA)
Li, Bo& He, Zhimin. 1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039797