Continuous time evolution from iterated maps and Carleman linearization

Details Continuous time evolution from iterated maps and Carleman linearization Continuous time evolution from iterated maps and Carleman linearization

2000-02-23

arxiv.org/abs/math-ph/0002044v1

Physics

Mathematical Physics

13 pages, LaTeX

Scientific paper

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

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