This title appears in the Scientific Report :
2005
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevLett.95.140601 in citations.
Please use the identifier: http://hdl.handle.net/2128/2370 in citations.
Temporal scaling at Feigenbaum points and non-extensive thermodynamics
Temporal scaling at Feigenbaum points and non-extensive thermodynamics
We show that recent claims for the nonstationary behavior of the logistic map at the Feigenbaum point based on nonextensive thermodynamics are either incorrect or can be easily deduced from well-known properties of the Feigenbaum attractor. In particular, there is no generalized Pesin identity for t...
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Personal Name(s): | Grassberger, P. |
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Contributing Institute: |
John von Neumann - Institut für Computing; NIC |
Published in: | Physical review letters, 95 (2005) S. 140601 |
Imprint: |
College Park, Md.
APS
2005
|
Physical Description: |
140601 |
DOI: |
10.1103/PhysRevLett.95.140601 |
Document Type: |
Journal Article |
Research Program: |
Betrieb und Weiterentwicklung des Höchstleistungsrechners |
Series Title: |
Physical Review Letters
95 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/2370 in citations.
We show that recent claims for the nonstationary behavior of the logistic map at the Feigenbaum point based on nonextensive thermodynamics are either incorrect or can be easily deduced from well-known properties of the Feigenbaum attractor. In particular, there is no generalized Pesin identity for this system, the existing attempts at proofs being based on misconceptions about basic notions of ergodic theory. In deriving several new scaling laws of the Feigenbaum attractor, thorough use is made of its detailed structure, but there is no obvious connection to nonextensive thermodynamics. |