Statistical properties of chaotic binary sequences generated by one-dimensional maps

被引：0

作者：

Oohama, Y ^{[1
]}

Kohda, T ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch, Fac Informat Sci & Elect Engn, Dept Comp Sci & Commun Engn, Fukuoka 8128581, Japan

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2002年 / E85A卷 / 09期

关键词：

one-dimensional maps; chaos; binary sequences; large deviation theory for dynamical systems;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

There are several attempts to generate chaotic binary sequences by using one-dimensional maps. From the standpoint of engineering applications, it is necessary to evaluate statistical properties of sample sequences of finite length. In this paper we attempt, to evaluate the statistics of chaotic binary sequences of finite length. The large deviation theory for dynamical systems is useful for investigating this problem.

引用

页码：1993 / 2002

页数：10

共 50 条

[1] On auto-correlation properties of chaotic binary sequences generated by one-dimensional maps
Tsuneda, A
[J]. IECON 2000: 26TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1-4: 21ST CENTURY TECHNOLOGIES AND INDUSTRIAL OPPORTUNITIES, 2000, : 2025 - 2030
[2] Design of one-dimensional chaotic maps with prescribed statistical properties
Baranovsky, A
Daems, D
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (06): : 1585 - 1598
[3] A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties
Diakonos, FK
Pingel, D
Schmelcher, P
[J]. PHYSICS LETTERS A, 1999, 264 (2-3) : 162 - 170
[4] Design of binary sequences with tunable exponential autocorrelations and run statistics based on one-dimensional chaotic maps
Tsuneda, A
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) : 454 - 462
[5] Statistical properties of chaotic sequences generated by jacobian elliptic Chebyshev rational maps
Kohda, T
[J]. 2004 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 5, PROCEEDINGS, 2004, : 648 - 651
[6] Statistical properties of one-dimensional binary sequences with power-law power spectrum
Gong, Longyan
Zhou, Zicong
Tong, Peiqing
Zhao, Shengmei
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (17) : 2977 - 2986
[7] Reconstruction of one-dimensional chaotic maps from sequences of probability density functions
Xiaokai Nie
Daniel Coca
[J]. Nonlinear Dynamics, 2015, 80 : 1373 - 1390
[8] Reconstruction of one-dimensional chaotic maps from sequences of probability density functions
Nie, Xiaokai
Coca, Daniel
[J]. NONLINEAR DYNAMICS, 2015, 80 (03) : 1373 - 1390
[9] Localization in one-dimensional tight-binding model with chaotic binary sequences
Yamada, Hiroaki S.
[J]. CHAOS SOLITONS & FRACTALS, 2018, 109 : 99 - 106
[10] Statistical properties of one-dimensional maps with critical points and singularities
Diaz-Ordaz, K.
Holland, M. P.
Luzzatto, S.
[J]. STOCHASTICS AND DYNAMICS, 2006, 6 (04) : 423 - 458

← 1 2 3 4 5 →