### 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 language | English |
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Pages (from-to) | 411-416 |

Number of pages | 6 |

Journal | Physics Letters A |

Volume | 109 |

Issue number | 9 |

DOIs | |

Publication status | Published - Jun 24 1985 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Lewenstein, M., & Tél, T. (1985). On the dynamics of ensemble averages in chaotic maps.

*Physics Letters A*,*109*(9), 411-416. https://doi.org/10.1016/0375-9601(85)90533-X