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June 14, 1982Physical Review Letters127 citations

Exact Solutions to the Feigenbaum Renormalization-Group Equations for Intermittency

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BHBambi HuJRJoseph Rudnick

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Abstract

Exact solutions to the Feigenbaum renormalization-group recursion relation, and the associated eigenvalue equations describing deterministic as well as stochastic perturbations, are found for the case of intermittency. These solutions are generated by a reformulation of the one-dimensional iterated map that exploits its topological equivalence to a translation. Direct resummation of series expansions gives the same results.

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Hu et al. (1982) studied this question.

synapsesocial.com/papers/6a0fc84f8090e499da602adbhttps://doi.org/10.1103/physrevlett.48.1645
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