24 citations · 41 across the 4 of their papers we have counts for
4 papers
Characterizing Data Assimilation in Navier-Stokes Turbulence with Transverse Lyapunov Exponents
Masanobu Inubushi, Yoshitaka Saiki, Miki U. Kobayashi +1
Data assimilation (DA) reconstructing small-scale turbulent structures is crucial for forecasting and understanding turbulence. This study proposes a theoretical framework for DA b…
Dynamical system analysis of a data-driven model constructed by reservoir computing
Miki U Kobayashi, Kengo Nakai, Yoshitaka Saiki +1
This study evaluates data-driven models from a dynamical system perspective, such as unstable fixed points, periodic orbits, chaotic saddle, Lyapunov exponents, manifold structures…
Delay sober up drunkers: Control of diffusion in random walkers
Hiroyasu Ando, Kohta Takehara, Miki U. Kobayashi
Time delay in general leads to instability in some systems, while a specific feedback with delay can control fluctuated motion in nonlinear deterministic systems to a stable state.…
Periodic-orbit determination of dynamical correlations in stochastic processes
Miki U. Kobayashi, Hirokazu Fujisaka, Syuji Miyazaki
It is shown that large deviation statistical quantities of the discrete time, finite state Markov process , where P_n^{(j)} is the probab…