Analysis Method for Parameter Sensitivities of Periods in Rhythm Phenomena – Sensitivity and Adjoint Equations –

Sensitivity analysis is fundamental and essential in analysis and design of any system. This paper proposes a method of sensitivity analysis of rhythm phenomena which are found in various systems. In particular, we propose an analysis method of period sensitivities in rhythm phenomena. Analysis of period sensitivities is very difficult because rhythms appear autonomously as periodic phenomena in nonlinear systems and only a few studies have been done. We already proposed an analysis method of parameter sensitivities of the periods in rhythm phenomena based on the sensitivity equation approach. In this paper, we propose a computationally efficient and accurate method to analyze the period sensitivities by the adjoint equation approach. Comparisons of the proposed method with that based on sensitivity equations are also made.