2 papers
nlin.AO2026
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…
nlin.AO2024
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…