  Transfer of nucleotide strings in the Synechocystis sp. PCC6803 genome is
investigated to exhibit periodic and non-periodic correlation structures by
using the recurrence plot method and the phase space reconstruction technique.
The periodic correlation structures are generated by periodic transfer of
several substrings in long periodic or non-periodic nucleotide strings embedded
in the coding regions of genes. The non-periodic correlation structures are
generated by non-periodic transfer of several substrings covering or
overlapping with the coding regions of genes. In the periodic and non-periodic
transfer, some gaps divide the long nucleotide strings into the substrings and
prevent their global transfer. Most of the gaps are either the replacement of
one base or the insertion/reduction of one base. In the reconstructed phase
space, the points generated from two or three steps for the continuous
iterative transfer via the second maximal distance can be fitted by two lines.
It partly reveals an intrinsic dynamics in the transfer of nucleotide strings.
Due to the comparison of the relative positions and lengths, the substrings
concerned with the non-periodic correlation structures are almost identical to
the mobile elements annotated in the genome. The mobile elements are thus
endowed with the basic results on the correlation structures.
