Universality of periodic points in bounded discrete time series

Autor:	Nakayama, Chikara, Yoneda, Tsuyoshi
Rok vydání:	2023
Předmět:	Computer Science - Machine Learning Computer Science - Information Theory Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We consider arbitrary bounded discrete time series originating from dynamical system. Without any use of the Fourier transform, we find periodic points which suitably characterizes (i.e. independent of Lyapunov exponent) the corresponding time series. In particular, bounded discrete time series generated by the autoregressive model (without the white noise) is equivalent to a quasi periodic function.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.00290 Zobrazit plný text záznamu View this record from Arxiv