Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps

Garin F.J. Añaños; Constantino Tsallis

doi:10.1103/PhysRevLett.93.020601

Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps

Garin F.J. Añaños, Constantino Tsallis

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55 Scopus citations

Abstract

The sensitivity to initial conditions and the entropy production per unit time of one-dimensional dissipative maps were investigated. Ensemble averages were made by sampling randomly the entire phase space. One dimensional dissipative maps referred to as exponential maps are introduced to have one more paradigmatic universality class on which basic properties could be tested. The results led to the numerical confirmation, for the standard logistic maps and one dimensional dissipative maps, of an appropriate generalization of the Pesin identity.

Original language	English
Article number	020601
Pages (from-to)	020601-1-020601-4
Journal	Physical Review Letters
Volume	93
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.93.020601
State	Published - 9 Jul 2004
Externally published	Yes

Bibliographical note

Funding Information:
We acknowledge interesting remarks from F. Baldovin, E.P. Borges, A. Robledo, and U. Tirnakli, as well as partial financial support from PRONEX/MCT, CNPq, and Faperj (Brazilian agencies).

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10.1103/PhysRevLett.93.020601

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Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps

Abstract

Bibliographical note

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