*Title : Introduction of two studies: (1) analysis of oscillation quenching by periodic perturbation and (2) parameter estimation of Kuramoto model*

*Abstract : *

I will talk about the two different projects that I am working on in Japan. (1) In the first part, I will present the oscillation quenching (annihilation of oscillation) in a bistable oscillator model [1]. We find that multiplicative periodic forces combined with feedback induce quenching and perform the bifurcation analysis using an averaging approximation. (2) The second part would be about the parameter estimation of the Kuramoto model, which is a mathematical model that describes synchronization phenomena. We use the time series of the order parameter (a macroscopic quantity that characterizes how the whole population is synchronized) as given data and estimate the model parameters. The estimation is performed by the Bayesian approach, using the exchage Monte Carlo method for computation.

[1] Y. Kato and H. Kori. Periodic forces combined with feedback induce quenching in a bistable oscillator. Chaos 34, 103125 (2024).

The seminar will take place in **Room S08** at the Faculty of Sciences.