Weighted power mean discrete dynamical systems: Fast convergence properties

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 regardi...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Francisco J. Solis
Format: Artikel
Sprache:English
Veröffentlicht: Wiley 2006-01-01
Schriftenreihe:Discrete Dynamics in Nature and Society
Online Zugang:http://dx.doi.org/10.1155/DDNS/2006/32685
Beschreibung
Zusammenfassung: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.
ISSN:1026-0226
1607-887X