Chikara Nakayama

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 networks which effectively approximate the corresponding discrete dynamical systems.

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 composite functions. In particular, we provide special composite functions that tend asymptotically to almost periodic orbits.