5 citations · 8 across the 4 of their papers we have counts for
4 papers
Data-driven reconstruction of spatiotemporal phase dynamics for traveling and oscillating patterns via Bayesian inference
Takahiro Arai, Toshio Aoyagi, Yoji Kawamura
Building on the phase reduction theory formulated for reaction-diffusion systems with spatial translational symmetry, we develop a data-driven method that reconstructs the spatiote…
Phase reduction analysis of traveling breathers in reaction--diffusion systems
Takahiro Arai, Yoji Kawamura
We formulate a theory for phase reduction analysis of traveling breathers in reaction--diffusion systems with spatial translational symmetry. In this formulation, the spatial and t…
Setting of the Poincaré section for accurately calculating the phase of rhythmic spatiotemporal dynamics
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
The synchronization analysis of limit-cycle oscillators is prevalent in many fields, including physics, chemistry, and life sciences. It relies on the phase calculation that utiliz…
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…