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DY: Fachverband Dynamik und Statistische Physik

DY 8: Invited Talk: Dynamics of Networks (joint session DY/SOE)

DY 8.1: Invited Talk

Monday, March 27, 2023, 12:30–13:00, ZEU 250

Novel phenomena and analysis methods in oscillator networks: higher-order interactions, higher-order averaging, and inference — •Hiroshi Kori — The University of Tokyo, Japan

Synchronization of oscillator networks is essential for functionalization of systems. Examples include heart pacemaker, circadian clock, and locomotion, to name a few. In this talk, after reviewing a general background, I will present recent studies with an emphasis on novel phenomena and analysis techniques. (i) A network of three oscillators shows complex synchronization transitions when the network structure or overall coupling intensity is varied [1]. The transition is analyzed using a higher-order averaging method. (ii) In the assembly of noisy oscillators with a three-body interaction, synchronized state appears only transiently and its persistent time increases exponentially with the interaction strength of three-body coupling. (iii) I will present our proposed inference methods of coupling intensity from spike data [2] and the phase from oscillatory time series [3].

[1] M. Kato, H. Kori, PRE (2023)
[2] F. Mori and H. Kori, PNAS (2022)
[3] A. Matsuki, H. Kori, R. Kobayashi. arXiv (2022)