ID 112115
著者
辻, 繁樹 Tokushima University|Japan Science and Technology Agency (JST)|The University of Tokyo
キーワード
Bifurcation
chaos
BVP oscillator
diffusive coupling
資料タイプ
学術雑誌論文
抄録
The Bonhöffer-van der Pol (BVP) oscillator is a simple circuit implementation describing neuronal dynamics. Lately the diffusive coupling structure of neurons attracts much attention since the existence of the gap-junctional coupling has been confirmed in the brain. Such coupling is easily realized by linear resistors for the circuit implementation, however, there are not enough investigations about diffusively coupled BVP oscillators, even a couple of BVP oscillators. We have considered several types of coupling structure between two BVP oscillators, and discussed their dynamical behavior in preceding works. In this paper, we treat a simple structure called current coupling and study their dynamical properties by the bifurcation theory. We investigate various bifurcation phenomena by computing some bifurcation diagrams in two cases, symmetrically and asymmetrically coupled systems. In symmetrically coupled systems, although all internal elements of two oscillators are the same, we obtain in-phase, anti-phase solution and some chaotic attractors. Moreover, we show that two quasi-periodic solutions are disappeared simultaneously by the homoclinic bifurcation on the Poincaré map and that a large quasi-periodic solution is generated by the coalescence of these quasi-periodic solutions, but it is disappeared by the heteroclinic bifurcation on the Poincaré map. In the other case, we confirm the existence a conspicuous chaotic attractor in the laboratory experiments.
掲載誌名
International Journal of Bifurcation and Chaos
ISSN
02181274
17936551
cat書誌ID
AA10810319
出版者
World Scientific
17
3
開始ページ
837
終了ページ
850
発行日
2007-03
権利情報
Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 17, No. 3, 2007, 837-850, DOI: 10.1142/S0218127407017586 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
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言語
eng
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部局
情報センター
理工学系