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ID 112113
Author
Tsuji, Shigeki Tokushima University
Aihara, Kazuyuki University of Tokyo
Keywords
Bifurcation
bursting
FitzHugh–Nagumo model
periodic external force
Content Type
Journal Article
Description
Spiking and bursting observed in nerve membranes seem to be important when we investigate information representation model in the brain. Many topologically different bursting responses are observed in the mathematical models and their related bifurcation mechanisms have been clarified. In this paper, we propose a design method to generate bursting responses in FitzHugh-Nagumo model with a simple periodic external force based on bifurcation analysis. Some effective parameter perturbations for the amplitude of the external input are given from the 2-parameter bifurcation diagram.
Journal Title
International Journal of Bifurcation and Chaos
ISSN
02181274
17936551
NCID
AA10810319
Publisher
World Scientific
Volume
14
Issue
7
Start Page
2241
End Page
2252
Published Date
2004-07
Rights
Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 14, No. 7, 2004, 2241-2252, DOI: 10.1142/S0218127404010564 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
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DOI (Published Version)
URL ( Publisher's Version )
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language
eng
TextVersion
Author
departments
Center for Administration of Information Technology
Science and Technology