Continuous iteration of dynamical maps
Abstract
A precise meaning is given to the notion of continuous iteration of a mapping. Usual discrete iterations are extended into a dynamical flow which is a homotopy of them all. The continuous iterate reveals that a dynamic map is formed by independent component modes evolving without interference with each other. An application to turbulent flow suggests that the velocity field assumes nonseparable values.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 October 1998
 DOI:
 10.1063/1.532574
 arXiv:
 arXiv:physics/9712026
 Bibcode:
 1998JMP....39.5324A
 Keywords:

 47.27.Eq;
 47.11.+j;
 05.45.+b;
 02.60.x;
 Numerical approximation and analysis;
 Mathematical Physics
 EPrint:
 24 pages, ps file