Feigenbaum universality and the thermodynamic formalism

Abstract

CONTENTS § 1. Sequences of period-doubling bifurcations § 2. Facts from the general theory of continuous one-dimensional maps § 3. The doubling transformation § 4. Properties of the Feigenbaum attractor § 5. Small random perturbations of the map g § 6. Feigenbaum universality in the multi-dimensional case and some other generalizations References

Identifiers

DOI

10.1070/rm1984v039n03abeh003162

Citations and references