Addendum: Takens-type reconstruction theorems of one-sided dynamical systems (2023 <i>Nonlinearity</i> 36 1571)

Abstract In the paper (Kato 2023 Nonlinearity 36 1571–92) the author proved the Takens-type reconstruction theorems of one-sided topological dynamics from single time series data. The purpose of this paper is to add the following results (1–3) to the above paper: (1) reconstruction theorems of one-sided topological dynamics from multivariate time series data, (2) the existence of ‘universal functions for observing dynamics’ and (3) the difference between embedding and trajectory embedding in one-sided dynamical systems.