Summary
International Technical Conference on Circuits/Systems, Computers and Communications
2008
Session Number:P1
Session:
Number:P1-73
Chaotic Analysis of DNA Codes
Jiguo Dong, Takako Yamada, Katsufusa Shono,
pp.-
Publication Date:2008/7/7
Online ISSN:2188-5079
Summary:
By synthesizing the logistic map $x_{t+1}=4x_t(1-x_t)$, $x_{t+1}=f(f(x_t))$ produces chaos having $L=4$ where Lyapunov exponent is $\lambda={\it{ln}}L$. The successive backward calculation $x_t=\frac{1\pm \sqrt{1-x_{t+1}}}{2}$,$x_t=f^{-1}(f^{-1}(x_{t+1}))$ can accept external four bit codes such as DNA(A,G,T,C) for the sign determination, the internal state $x_t$ obtained gives us the Lyapunov exponent $L'$ along the external codes and can be compared with $L=4$ chaos. The Lyapunov exponent $L'$ obtained is a measure of evolution of a gene, and the entropy $G_2$ gives characteristic distributions.