Abstract
Analytic approximations for the spatial average and its variance are derived for a system of N uncoupled chaotic logistic maps with growth parameter r = 4. The arising nontrivial closure problem is investigated with various techniques related to the classical moment problem. A Lyapunov-like linear stability analysis is presented for the transient as well as for the fluctuation regime.
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Kratky, K.W., Kürten, K.E. Irregular Fluctuations in Uncoupled Map Lattices. Journal of Statistical Physics 90, 749–765 (1998). https://doi.org/10.1023/A:1023224903505
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DOI: https://doi.org/10.1023/A:1023224903505