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Discrete Dynamics in Nature and Society
Volume 2006, Article ID 32685, 9 pages

Weighted power mean discrete dynamical systems: Fast convergence properties

Departament de Matemáticas Aplicadas, Centro de Investigación en Matemáticas, Callejon Jalisco s/n, Valenciana, Guanajuato, Gto. 36000, CP, Mexico

Received 9 February 2006; Accepted 25 April 2006

Copyright © 2006 Francisco J. Solis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We studied families of discrete dynamical systems obtained by using iteration functions given by weighted power mean in order to understand the role of hyperrapid convergence in nonlinear maps. Our interest resides in concepts related to the velocity of convergence. We introduce new concepts regarding the time of convergence and we provide an ordering of these families according to their dependence on parameters.