(英) Synchronization of Electric Fireflies by using Square Wave Generators (日) 矩形波発振器を用いた電子ホタルの同期現象
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(英) In this article, we propose a square wave generator whose switching threshold values are switched by external inputs. This circuit is designed to simulate the synchronized luminescence of coupled fireflies. We investigate the behavior of the solutions in two coupled oscillators. The dynamics are demonstrated by a linear autonomous equation piecewisely, therefore, a one-dimensional return map is derived. We also prove the existence of stable in-phase synchronization in the coupled oscillator by using the return map, and we show the existence of regions of periodic solutions within a parameter space. Some theoretical results are confirmed by laboratory measurements. (日) 方形波発振を行うマルチバイブレータを,フォトカップラとフォトダイオードによって結合した場合に生じる同期現象について議論する.このモデルは,水を半分入れたペットボトルをパイプでつないだシステムを模擬している.初期値とパラメータによって準周期を基本とした周期解の同期が豊富に生じる.本論文ではモデル方程式の分岐解析を行い,これらパラメータ平面における同期化領域を詳細に調べた.系は区分線形系であり,分岐条件は適切なポアンカレ写像を設けることにより厳密に解析が行えた.
Takuji Kousaka, Tetsushi UetaandHiroshi Kawakami : Synchronization of Electric Fireflies by using Square Wave Generators, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E81-A, No.5, 656-663, 1998.
欧文冊子 ●
Takuji Kousaka, Tetsushi UetaandHiroshi Kawakami : Synchronization of Electric Fireflies by using Square Wave Generators, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E81-A, No.5, 656-663, 1998.
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