108 citations · 248 across the 19 of their papers we have counts for
7 papers · 1 filter
Extracting phase coupling functions between collectively oscillating networks directly from time-series data
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
Many real-world systems are often regarded as weakly coupled limit-cycle oscillators, in which each oscillator corresponds to a dynamical system with many degrees of freedom that h…
Interaction Mechanisms Quantified from Dynamical Features of Frog Choruses
Kaiichiro Ota, Ikkyu Aihara, Toshio Aoyagi
Interaction mechanism in the acoustic communication of actual animals is investigated by combining mathematical modeling and empirical data. Here we use a deterministic mathematica…
A role of asymmetry in linear response of globally coupled oscillator systems
Yu Terada, Keigo Ito, Ryosuke Yoneda +2
The linear response is studied in globally coupled oscillator systems including the Kuramoto model. We develop a linear response theory which can be applied to systems whose coupli…
Nonstandard transitions in the Kuramoto model: A role of asymmetry in natural frequency distributions
Yu Terada, Keigo Ito, Toshio Aoyagi +1
We study transitions in the Kuramoto model by shedding light on asymmetry in the natural frequency distribution, which has been assumed to be symmetric in many previous studies. Th…
Direct extraction of phase dynamics from fluctuating rhythmic data based on a Bayesian approach
Kaiichiro Ota, Toshio Aoyagi
Employing both Bayesian statistics and the theory of nonlinear dynamics, we present a practically efficient method to extract a phase description of weakly coupled limit-cycle osci…
Multistable attractors in a network of phase oscillators with three-body interaction
Takuma Tanaka, Toshio Aoyagi
Three-body interactions have been found in physics, biology, and sociology. To investigate their effect on dynamical systems, as a first step, we study numerically and theoreticall…