Bifurcation of a Modified BVP Circuit Model for Neurons Generating Rectangular Waves
نویسندگان
چکیده
We investigate bifurcations of burst oscillations with rectangular waveform observed in a modified Bonhöffer-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. key words: modified BVP equation, bifurcation, homoclinic orbit, chaos, neuronal model
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