1887
Volume 2012, Issue 1
  • EISSN: 2223-506X

Abstract

We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting “weak chaos”, namely systems whose underlying dynamics has vanishing largest Lyapunov exponent. Our argument relies on properties of a deformation map of the reals induced by the Tsallis entropy, and its conclusion agrees with all currently known results.

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2013-09-01
2020-09-22
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  • Article Type: Research Article
Keyword(s): 02.10.Hh , 05.45.Df , 64.60.al , lyapunov exponents , nonextensive parameter , Tsallis entropy and weak chaos
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