2000/02/23 by P. Gralewicz, K. Kowalski, Gralewicz, P. +1
Computer Science · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #Evolutionary Algorithms and Applications #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Metaheuristic Optimization Algorithms Research #Neural Networks and Applications #math-ph #math.DS #math.MP #nlin.CD
paper · pdf · doi:10.48550/arxiv.math-ph/0002044
13 pages, LaTeX
arxiv created 2000/02/23 · openalex publication_date 2000/02/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Carleman linearization technique the continuous iteration of a mapping is studied. Based on the detailed analysis of the Carleman embedding matrix the precise mathematical meaning is given to such notion. The ordinary differential equations referring to continuous iterations are identified and the discussion of the relationship between them and the corresponding iterated maps is performed. Keywords: iterated systems, functional eigenequation