Analysis Method of Period Sensitivities and Bifurcations for Rhythm Phenomena

The purpose of this paper is to propose a method for analyzing the period sensitivities and bifurcations for rhythm phenomena. The authors have already proposed a method for analyzing the sensitivities of the period with respect to parameters, an important characteristic of rhythm phenomena, and computationally efficient algorithms for this purpose. The period sensitivities of rhythm phenomena depend on bifurcations of that phenomena. In this paper, we propose a method and computation algorithms for investigating variations of the period sensitivities and bifurcations for rhythm phenomena by incorporating those algorithms. We also show an example of investigating variations of the period sensitivities and bifurcations by using the developed algorithm and demonstrate what can be revealed by it.