Zeitschrift für Physik B Condensed Matter

, Volume 71, Issue 2, pp 231–235 | Cite as

Generalized specific heat as a characteristic measure in chaos

  • F. Schlögl
  • E. Schöll


The bit number variance of the invariant density of a chaotic dynamic system is discussed as a characteristic measure which represents an analogue of the specific heat in statistical thermodynamics. It is sensitive to correlations in a higher degree than the entropy. Moreover it is invariant under scaling transformations of the coordinates. Its relation with the spectrum of generalized dimensionsD q and the spectrum of singularitiesf(α) is pointed out.


Spectroscopy Entropy Neural Network Dynamic System State Physics 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • F. Schlögl
    • 1
  • E. Schöll
    • 1
  1. 1.Institut für Theoretische PhysikRheinisch-Westfälische Technische HochschuleAachenFederal Republic of Germany

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