Bifurcation of a Modified BVP Circuit Model for Neurons Generating Rectangular Waves (Special Section on Nonlinear Theory and Its Applications)
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概要
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We investigate bifurcations of burst oscillations with rectangular waveform observed in a modified Bonhoffer-van der Pol equation, which is considered as a circuit model for neurons of a feeding rhythm generator. In particular, we clarify a mechanism of properties in a one-parameter graph on the period of oscillations, showing a staircase with hysteresis jumps, by studying a successive bifurcation process including a chain of homoclinic bifurcations. The occurrence of homoclinic bifurcations is confirmed by using the linking number of limit cycles related with the stable manifold through an equilibrium.
- 社団法人電子情報通信学会の論文
- 1999-09-25
著者
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KAWAKAMI Hiroshi
Faculty of Engineering, The University of Tokushima
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Yoshinaga Tetsuya
Faculty Of Engineering University Of Tokushima
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TSUMOTO Kunichika
Faculty of Engineering, University of Tokushima
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Kawakami Hiroshi
Faculty Of Engineering Kyushu University.
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Kawakami Hiroshi
Faculty Of Engineering University Of Tokushima
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Tsumoto K
Takuma National Coll. Technol.
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