Low dimensional chaos in the AT and GC skew profiles of DNA sequences

doi:10.1088/1674-1056/19/9/090508

Abstract This paper investigates the existence of low-dimensional deterministic chaos in the AT and GC skew profiles of DNA sequences. It has taken DNA sequences from eight organisms as samples. The skew profiles are analysed using continuous wavelet transform and then nonlinear time series methods. The invariant measures of correlation dimension and the largest Lyapunov exponent are calculated. It is demonstrated that the AT and GC skew profiles of these DNA sequences all exhibit low dimensional chaotic behaviour. It suggests that chaotic properties may be ubiquitous in the DNA sequences of all organisms.

Keywords: chaos phase space reconstruction DNA sequences AT and GC skew profiles

Received: 27 January 2010
Revised: 16 February 2010
Accepted manuscript online:

PACS:	0545
	8715

Fund: Project supported in part by the National Natural Science Foundation of China (Grant No. 60774088), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090031110029), and the Foundation of the Application Base and Frontier Technology Research Project of Tianjin (Grant No. 08JCZDJC21900).

Cite this article:

Zhou Qian(周茜) and Chen Zeng-Qiang(陈增强) Low dimensional chaos in the AT and GC skew profiles of DNA sequences 2010 Chin. Phys. B 19 090508

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Low dimensional chaos in the AT and GC skew profiles of DNA sequences

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