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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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/32685 |
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| _version_ | 1832563940901519360 |
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| author | Francisco J. Solis |
| author_facet | Francisco J. Solis |
| author_sort | Francisco J. Solis |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d0eea0c47b0f4b51b4343606bf93f4f4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d0eea0c47b0f4b51b4343606bf93f4f42025-02-03T01:12:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/3268532685Weighted power mean discrete dynamical systems: Fast convergence propertiesFrancisco J. Solis0Departament de Matemáticas Aplicadas, Centro de Investigación en Matemáticas, Callejon Jalisco s/n, Valenciana, Guanajuato, Gto. 36000, CP, MexicoWe 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.http://dx.doi.org/10.1155/DDNS/2006/32685 |
| spellingShingle | Francisco J. Solis Weighted power mean discrete dynamical systems: Fast convergence properties Discrete Dynamics in Nature and Society |
| title | Weighted power mean discrete dynamical systems: Fast convergence properties |
| title_full | Weighted power mean discrete dynamical systems: Fast convergence properties |
| title_fullStr | Weighted power mean discrete dynamical systems: Fast convergence properties |
| title_full_unstemmed | Weighted power mean discrete dynamical systems: Fast convergence properties |
| title_short | Weighted power mean discrete dynamical systems: Fast convergence properties |
| title_sort | weighted power mean discrete dynamical systems fast convergence properties |
| url | http://dx.doi.org/10.1155/DDNS/2006/32685 |
| work_keys_str_mv | AT franciscojsolis weightedpowermeandiscretedynamicalsystemsfastconvergenceproperties |