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Proposed central limit behavior in deterministic dynamical systems
Phys. Rev. E 79, 057201 – Published 11 May, 2009
DOI: https://doi.org/10.1103/PhysRevE.79.057201
Abstract
We check claims for a generalized central limit theorem holding at the Feigenbaum (infinite bifurcation) point of the logistic map made recently by Tirnakli et al., Phys. Rev. 75, 040106(R) (2007); this issue, Phys. Rev.79, 056209 (2009). We show that there is no obvious way that these claims can be made consistent with high statistics simulations. Instead, we find other scaling laws for related quantities.
Article Text
References (9)
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