Corrections to universal scaling in real maps

Details Corrections to universal scaling in real maps Corrections to universal scaling in real maps

1994-08-04

arxiv.org/abs/chao-dyn/9407019v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, postscript

Scientific paper

10.1016/0375-9601(94)90567-3

I discuss the universal aspects of scaling in period-doubling sequences in
families of maps of the real line possessing non-integer degree. I show that
the scaling behaviour in both the orbital and parameter spaces is governed by
the same sequence of eigenvalues of the linearized renormalization operator.
These eigenvalues are smooth functions of the degree of the maximum of the map.

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