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...

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Detalles Bibliográficos
Autor principal: Francisco J. Solis
Formato: Artículo
Lenguaje:English
Publicado: Wiley 2006-01-01
Colección:Discrete Dynamics in Nature and Society
Acceso en línea:http://dx.doi.org/10.1155/DDNS/2006/32685
Descripción
Sumario: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