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.
ASJC Scopus subject areas
- Physics and Astronomy(all)