3 papers
nlin.AO2026
Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
Keisuke Taga
The Kuramoto model is a paradigmatic model of collective synchronization in coupled oscillator systems. Although its mathematical properties have been extensively investigated, exa…
cond-mat.stat-mech2024
Universality in the tape-peeling trace
Keisuke Taga, Akihiko Toda, Yoshihiro Yamazaki
Spatiotemporal patterns, which are of interest in statistical physics and nonlinear dynamics, form on the tape-peeling trace. Recently, we have proposed a mathematical model to des…
nlin.CG2021
Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara +2
We perform a Koopman spectral analysis of elementary cellular automata (ECA). By lifting the system dynamics using a one-hot representation of the system state, we derive a matrix…