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metadata.dc.type: | Artigo de Periódico |
Title: | Two-dimensional dissipative maps at chaos threshold:sensitivity to initial conditions and relaxation dynamics |
Other Titles: | Physica A: Statistical Mechanics and its Applications |
Authors: | Borges, Ernesto Pinheiro Tirnakli, Ugur |
metadata.dc.creator: | Borges, Ernesto Pinheiro Tirnakli, Ugur |
Abstract: | The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We verify the dual nature of the entropic index for the Henon map, one (qsen¡1) related to its sensitivity to initial condition properties, and the other, graining-dependent (qrel(W)¿1), related to its relaxation dynamics towards its stationary state attractor. We also corroborate a scaling law between these two indices, previously found for z-logistic maps. Finally, we perform a preliminary analysis of a linearized version of the Henon map (the smoothed Lozi map). We 1nd that the sensitivity properties of all these z-logistic, Henon and Lozi maps are the same, qsen=0:2445 : : :. |
Keywords: | Nonextensive thermostatistics Dynamical systems Two-dimensional maps |
Publisher: | Elsevier |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7183 |
Issue Date: | 2004 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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CONFIG~1....0-S0378437104004194-main.pdf Restricted Access | 1,6 MB | Adobe PDF | View/Open Request a copy |
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