Open AccessWeighted power mean discrete dynamical systems: Fast convergence properties
Author(s) -
Francisco J. Solís
Publication year - 2006
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/ddns/2006/32685
Subject(s) - convergence (economics) , mathematics , nonlinear system , dynamical systems theory , power (physics) , normal convergence , convergence tests , order (exchange) , computer science , rate of convergence , physics , computer network , economic growth , quantum mechanics , finance , economics , channel (broadcasting)
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
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