1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki +2
We apply Dynamic Mode Decomposition (DMD) to Elementary Cellular Automata (ECA). Three types of DMD methods are considered and the reproducibility of the system dynamics and Koopma…
A tape-peeling model for spatiotemporal pattern formation by deformed adhesives
Keisuke Taga, Yoshihiro Yamazaki
We propose a new model for pattern formation in peeling of an adhesive tape based on the equation of motion for the displacement of deformed adhesives in the peel front. The spatio…
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…