4 papers
From phase synchronization to waveform proportionality in a population of Rössler oscillators driven by an external pacemaker
Yuzuru Mitsui, Shigefumi Hata, Hiroshi Kori
The dynamical order of self-sustained oscillators is often characterized by phase synchronization, extensively studied within the framework of the Kuramoto model. It has recently b…
Distinguishing pairwise and higher-order interactions in coupled oscillators from time series
Weiwei Su, Shigefumi Hata, Hiroshi Kori +2
Rhythmic phenomena, which are ubiquitous in biological systems, are typically modelled as systems of coupled limit cycle oscillators. Recently, there has been an increased interest…
Manipulating Collective Opinion through Social Network Intervention
Shigefumi Hata, Renaud Lambiotte, Hiroya Nakao +1
Social media platforms have transformed the dynamics of collective opinion formation, enabling rapid, large-scale interactions while simultaneously exposing online discourse to pol…
Theory of phase reduction from hypergraphs to simplicial complexes: a general route to higher-order Kuramoto models
Iván León, Riccardo Muolo, Shigefumi Hata +1
Phase reduction is a powerful technique in the study of nonlinear oscillatory systems. Under certain assumptions, it allows us to describe each multidimensional oscillator by a sin…