| ID | 112119 |
| Author |
Ito, Daisuke
The University of Shiga Prefecture
Ueta, Tetsushi
Tokushima University
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Kousaka, Takuji
Oita University
Aihara, Kazuyuki
The University of Tokyo
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| Keywords | Discrete-time hybrid dynamical system
Nagumo–Sato model
border-collision bifurcation
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| Content Type |
Journal Article
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| Description | The Nagumo-Sato model is a simple mathematical expression of a single neuron, and it is categorized as a discrete-time hybrid dynamical system. To compute bifurcation sets in such a discrete-time hybrid dynamical system accurately, conditions for periodic solutions and bifurcations are formulated herewith as a boundary value problem, and Newton's method is implemented to solve that problem. As the results of the analysis, the following properties are obtained: border-collision bifurcations play a dominant role in dynamical behavior of the model; chaotic regions are distinguished by tangent bifurcations; and multi-stable attractors are observed in its coupled system. We demonstrate several bifurcation diagrams and corresponding topological properties of periodic solutions.
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| Journal Title |
International Journal of Bifurcation and Chaos
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| ISSN | 02181274
17936551
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| NCID | AA10810319
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| Publisher | World Scientific
|
| Volume | 26
|
| Issue | 3
|
| Start Page | 1630006
|
| Published Date | 2016-03
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| Rights | Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 26, No. 3, 2015, 1630006, DOI: 10.1142/S0218127416300068 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
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| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Author
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| departments |
Center for Administration of Information Technology
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