Proceeding of International Conference
Kenji Hishikawa, Daisuke Ito, Tetsushi Ueta, Bifurcation Analysis of Coupled Dictyostelium Oscillators, Proc. NOLTA2014, 419-422, Luzern, Sep. 2014.
Abstract: In recent years, a new rhythm synchroniza- tion has been reported. The generalization of the function for receptors in the Dictyostelium by a nonlinear coupled oscillators realizes the synchronization. After that, this phenomena were investigated qualitatively by the averag- ing method. However, a relationship between synchroniza- tion modes and bifurcation phenomena has not been stud- ied. In this paper, we feature van der Pol equation into Nagano's model, and investigate bifurcation phenomena of the periodic solution and classify synchronization modes. We show bifurcation diagrams and some typical attractors.