Combinatorial analysis of two basic forms of hidden periodicity in categorial sequences

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Combinatorial analysis of two basic forms of hidden periodicity in categorial sequences. / Alekseeva, N. P.

In: Vestnik St. Petersburg University: Mathematics, Vol. 40, No. 3, 09.2007, p. 193-200.

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

BibTeX

@article{ad5f8c54b7a04887bca9544bdadfbb38,

title = "Combinatorial analysis of two basic forms of hidden periodicity in categorial sequences",

abstract = "Two kinds of mixing of periodical components according to the Spencer-Brown laws of form are considered. If the identical fragments of a periodic component remain unchanged, then the periodicity is of the penetrant (calling) form; if the identical fragments break up, then it is of the co-penetrant (crossing) form. The hidden periodicity of the penetrant form is studied using the symptom analysis; the co-penetrant form of periodicity is studied using the order asymmetry method. In the symptom analysis, the method of principal components and SSA are modified for finite geometries. The order asymmetry method is the cluster analysis where the distance between two gradations characterizes the deviation from the periodicity in a subsequence over these gradations.",

author = "Alekseeva, {N. P.}",

year = "2007",

month = sep,

doi = "10.3103/S1063454107030053",

language = "English",

volume = "40",

pages = "193--200",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Combinatorial analysis of two basic forms of hidden periodicity in categorial sequences

AU - Alekseeva, N. P.

PY - 2007/9

Y1 - 2007/9

N2 - Two kinds of mixing of periodical components according to the Spencer-Brown laws of form are considered. If the identical fragments of a periodic component remain unchanged, then the periodicity is of the penetrant (calling) form; if the identical fragments break up, then it is of the co-penetrant (crossing) form. The hidden periodicity of the penetrant form is studied using the symptom analysis; the co-penetrant form of periodicity is studied using the order asymmetry method. In the symptom analysis, the method of principal components and SSA are modified for finite geometries. The order asymmetry method is the cluster analysis where the distance between two gradations characterizes the deviation from the periodicity in a subsequence over these gradations.

AB - Two kinds of mixing of periodical components according to the Spencer-Brown laws of form are considered. If the identical fragments of a periodic component remain unchanged, then the periodicity is of the penetrant (calling) form; if the identical fragments break up, then it is of the co-penetrant (crossing) form. The hidden periodicity of the penetrant form is studied using the symptom analysis; the co-penetrant form of periodicity is studied using the order asymmetry method. In the symptom analysis, the method of principal components and SSA are modified for finite geometries. The order asymmetry method is the cluster analysis where the distance between two gradations characterizes the deviation from the periodicity in a subsequence over these gradations.

UR - http://www.scopus.com/inward/record.url?scp=84859699497&partnerID=8YFLogxK

U2 - 10.3103/S1063454107030053

DO - 10.3103/S1063454107030053

M3 - Article

AN - SCOPUS:84859699497

VL - 40

SP - 193

EP - 200

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 71602610