10 papers
Data-driven oscillator model for multi-frequency turbulent flows
Youngjae Kim, Koichiro Yawata, Hiroya Nakao +1
The complex dynamics of high-dimensional oscillatory flows can be simplified using phase-reduction analysis, providing a deeper understanding of the flow response to external pertu…
Watanabe-Strogatz Invariants in the Liouvillian Dynamics of Coupled Phase Oscillators via the Koopman Framework
Keisuke Taga, Hiroya Nakao
In dynamical systems, invariants, i.e., constants of motion conserved along the trajectory, play important roles in characterizing the system's dynamical behavior. Recent applicati…
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…
Global Phase Synchronization Decoupled from Amplitude Dynamics
Koichiro Yawata, Hiroya Nakao
The Kuramoto model is a canonical framework for analyzing phase synchronization, yet its utility is restricted to the vicinity of the oscillator's unperturbed limit cycle. Here, we…
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…
Data-driven phase control for limit-cycle oscillators under partial observation
Koichiro Yawata, Norihisa Namura, Yuzuru Kato +1
Controlling rhythmic systems, typically modeled as limit-cycle oscillators, is an important subject in real-world problems. Phase reduction theory, which simplifies the multidimens…