3 papers
physics.flu-dyn2026
Multifractal sets of coherent and incoherent vortices in turbulence
Susumu Goto, Daiki Watanabe, Tsuyoshi Yoneda
We numerically verify multifractal theory (Frisch and Parisi 1985) for turbulence using simulation data at a high Reynolds number. First, we propose a simple method to directly est…
cs.LG2025
Universality of almost periodic orbits in certain composite functions
Chikara Nakayama, Tsuyoshi Yoneda
We consider composite functions in the elementary algebraic framework. Without any use of the Fourier transform, we find almost periodic orbits which suitably characterizes certain…
cs.LG2024
Explicit construction of recurrent neural networks effectively approximating discrete dynamical systems
Chikara Nakayama, Tsuyoshi Yoneda
We consider arbitrary bounded discrete time series originating from dynamical system with recursivity. More precisely, we provide an explicit construction of recurrent neural netwo…