Coarse-grained entropy and information dimension of dynamical systems: The driven Lorentz gas

László Mátyás, T. Tél, J. Vollmer

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The resolution dependence of the steady-state saturation values of coarse-grained entropies characterizing general dynamical systems is discussed. They are proportional to the information codimension of the chaotic attractor for dissipative maps. It is found that they provide a highly accurate method for determining the information dimension of the dynamical system. Results for the field-driven Lorentz gas are also demonstrated.

Original languageEnglish
Article number016205
Pages (from-to)162051-162058
Number of pages8
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number1 2
Publication statusPublished - Jan 2004

Fingerprint

Lorentz gas
Lorentz Gas
dynamical systems
Dynamical system
Entropy
entropy
Chaotic Attractor
Codimension
Saturation
Directly proportional
saturation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Coarse-grained entropy and information dimension of dynamical systems : The driven Lorentz gas. / Mátyás, László; Tél, T.; Vollmer, J.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 69, No. 1 2, 016205, 01.2004, p. 162051-162058.

Research output: Contribution to journalArticle

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