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Correlational Properties of Chebyshev Chaotic Sequences
Author(s) -
Kohda Tohru,
Tsuneda Akio,
Lawrance Anthony J.
Publication year - 2000
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/1467-9892.00180
Subject(s) - chebyshev filter , mathematics , property (philosophy) , chaotic , trajectory , degree (music) , chebyshev polynomials , dependency (uml) , chebyshev nodes , order (exchange) , approximation theory , mathematical analysis , computer science , artificial intelligence , finance , philosophy , physics , epistemology , astronomy , acoustics , economics
We evaluate dependence of a chaotic real‐valued trajectory generated by the Chebyshev map of degree k (≥ 2) by using the k th‐order dependency moments. We find that a real‐valued trajectory generated by the Chebyshev map of degree k has the k th‐order correlated property and the e k ( N )‐delay correlated property to be defined here. Results for other well‐known maps with the equidistributivity property defined in our previous paper are also given briefly.