Published April 2006 | Version v1
Journal article

Inherent randomicity in 4-symbolic dynamics

  • 1. Center for Nonlinear Complex Systems, Department of Physics, Yunnan University, Kunming, Yunnan 650091 (China)
  • 2. Department of Applied Mathematics, School of Mathematics and Physics, North China Electric Power University, Box 235, Baoding, Hebei 071003 (China)
  • 3. Department of Physics, Yunnan University, Kunming, Yunnan 650091 (China)

Description

The inherent randomicity in 4-symbolic dynamics will be clarified in this paper. The symbolic sequences bear three characteristics. The distribution of frequency, inter-occurrence times and the alignment of two random sequences are amplified in detail. By using transfer probability of Markov chain (MC), we obtain analytic expressions of generating functions in four probabilities stochastic wander model, which can be applied to all 4-symbolic systems. We hope to offer a symbolic platform that satisfies these stochastic properties and to study some properties of DNA sequences

Additional details

Identifiers

DOI
10.1016/j.chaos.2005.05.041;
PII
S0960-0779(05)00531-X;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
28
Journal Issue
1
Journal Page Range
p. 236-243
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37003611
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DNA SEQUENCING; FUNCTIONS; MARKOV PROCESS; PROBABILITY; RANDOMNESS
Descriptors DEC
STOCHASTIC PROCESSES; STRUCTURAL CHEMICAL ANALYSIS

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.