Abstract
We formulate a renormalization group analysis for the study of the accumulation of period doubling in the presence of noise. The main tool is a renormalization of the time evolution of the noise. The critical indices depend on the nature of the noise, but are given by thermodynamic quantities describing the large deviations of the Lyapunov exponent of the linearized random renormalization.
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Collet, P., Lesne, A. Renormalization group analysis of some dynamical systems with noise. J Stat Phys 57, 967–992 (1989). https://doi.org/10.1007/BF01020044
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DOI: https://doi.org/10.1007/BF01020044