Feigenbaum universality and the thermodynamic formalism

E. B. Vul; Yakov G. Sinai; K. M. Khanin

doi:10.1070/RM1984v039n03ABEH003162

Feigenbaum universality and the thermodynamic formalism

E. B. Vul, Yakov G. Sinai, K. M. Khanin

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English (US)
Pages (from-to)	1-40
Number of pages	40
Journal	Russian Mathematical Surveys
Volume	39
Issue number	3
DOIs	https://doi.org/10.1070/RM1984v039n03ABEH003162
State	Published - Jun 30 1984

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/RM1984v039n03ABEH003162

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title = "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.",

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year = "1984",

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AU - Sinai, Yakov G.

AU - Khanin, K. M.

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Y1 - 1984/6/30

N2 - 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.

AB - 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.

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DO - 10.1070/RM1984v039n03ABEH003162

M3 - Article

AN - SCOPUS:84927989803

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VL - 39

SP - 1

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JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

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ER -

Feigenbaum universality and the thermodynamic formalism

Abstract

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