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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90508-090508.doi: 10.1088/1674-1056/19/9/090508

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

周茜, 陈增强

Department of Automation, Nankai University, Tianjin 300071, China

收稿日期:2010-01-27 修回日期:2010-02-16 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
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

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

Zhou Qian(周茜)^† and Chen Zeng-Qiang(陈增强)

Department of Automation, Nankai University, Tianjin 300071, China

Received:2010-01-27 Revised:2010-02-16 Online:2010-09-15 Published:2010-09-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: chaos, phase space reconstruction, DNA sequences, AT and GC skew profiles

中图分类号:

0545

周茜, 陈增强. Low dimensional chaos in the AT and GC skew profiles of DNA sequences[J]. 中国物理B, 2010, 19(9): 90508-090508.

Zhou Qian(周茜) and Chen Zeng-Qiang(陈增强). Low dimensional chaos in the AT and GC skew profiles of DNA sequences[J]. Chin. Phys. B, 2010, 19(9): 90508-090508.

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

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

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