On the dynamics of ensemble averages in chaotic maps

M. Lewenstein, T. Tél

Research output: Contribution to journalArticle

Abstract

The dynamics of mean values in two-dimensional Hénon-like maps and in their strongly dissipative limit is investigated by considering the direct product of n such maps represented in center-of-mass and relative coordinates. The existence of a well-defined mean value for n → ∞ shows up by a nontrivial mechanism on the projection of the center-of-mass variable. Numerical simulations up to n = 128 suggest that the deviation between the actual mean value at large n and the limiting one obeys a gaussian distribution in the chaotic regime.

Original languageEnglish
Pages (from-to)411-416
Number of pages6
JournalPhysics Letters A
Volume109
Issue number9
DOIs
Publication statusPublished - Jun 24 1985

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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