Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors

B. D. Mestel; A. H. Osbaldestin

doi:10.1142/9789812777874_0011

Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors

B. D. Mestel^*, A. H. Osbaldestin

^*Corresponding author for this work

School of Mathematics & Physics

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

Abstract

We calculate all piecewise-constant periodic orbits (with values ±1) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic attractor. Our results make rigorous and generalise previous numerical results.

Original language	English
Pages (from-to)	132-160
Number of pages	29
Journal	Mathematical Physics Electronic Journal
Volume	6
DOIs	https://doi.org/10.1142/9789812777874_0011
Publication status	Published - 1 Dec 2000

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title = "Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors",

abstract = "We calculate all piecewise-constant periodic orbits (with values ±1) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic attractor. Our results make rigorous and generalise previous numerical results.",

author = "Mestel, \{B. D.\} and Osbaldestin, \{A. H.\}",

year = "2000",

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doi = "10.1142/9789812777874\_0011",

language = "English",

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AU - Mestel, B. D.

AU - Osbaldestin, A. H.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - We calculate all piecewise-constant periodic orbits (with values ±1) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic attractor. Our results make rigorous and generalise previous numerical results.

AB - We calculate all piecewise-constant periodic orbits (with values ±1) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic attractor. Our results make rigorous and generalise previous numerical results.

UR - https://www.scopus.com/pages/publications/15944380077

U2 - 10.1142/9789812777874_0011

DO - 10.1142/9789812777874_0011

M3 - Article

AN - SCOPUS:15944380077

SN - 1086-6655

VL - 6

SP - 132

EP - 160

JO - Mathematical Physics Electronic Journal

JF - Mathematical Physics Electronic Journal

ER -

Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors

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