Formulation and analysis of high-dimensional chaotic maps

被引：3
|
作者：
Liu, Y. [1 ]
Tang, Wallace K. S. [1 ]
Kwok, H. S. [1 ]
机构：
[1] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
PROCEEDINGS OF 2008 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-10 | 2008年
关键词：
D O I：
10.1109/ISCAS.2008.4541532
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, two methodologies are proposed to formulate high-dimensional chaotic maps based on the conventional two-dimensional Cat map. It is proved that these new generated chaotic maps not only have similar properties to their parental map, such as area-preservation and chaotic, they also possess a better mixing nature and high complexity, granting them to be good potential candidates for practical applications.
引用
收藏
页码：772 / 775
页数：4
相关论文
共 50 条
  • [21] Statistical physics of learning in high-dimensional chaotic systems
    Fournier, Samantha J.
    Urbani, Pierfrancesco
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2023, 2023 (11):
  • [22] Synchronizing high-dimensional chaotic optical ring dynamics
    Abarbanel, HDI
    Kennel, MB
    PHYSICAL REVIEW LETTERS, 1998, 80 (14) : 3153 - 3156
  • [23] Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics
    Cohen, Adam B.
    Ravoori, Bhargava
    Murphy, Thomas E.
    Roy, Rajarshi
    PHYSICAL REVIEW LETTERS, 2008, 101 (15)
  • [24] Chaotic Cuckoo Search Algorithm for High-dimensional Functions
    Ouyang, Aijia
    Pan, Guo
    Yue, Guangxue
    Du, Jiayi
    JOURNAL OF COMPUTERS, 2014, 9 (05) : 1282 - 1290
  • [25] Construction of a Class of High-Dimensional Discrete Chaotic Systems
    Zang, Hongyan
    Liu, Jianying
    Li, Jiu
    MATHEMATICS, 2021, 9 (04) : 1 - 20
  • [26] High-dimensional data structure analysis using Self-Organising Maps
    Hodych, Oles
    Nikolski, Iouri
    Pasichnyk, Volodymyr
    Shcherbyna, Yuri
    2007 PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, 2007, : 218 - 221
  • [27] Diffusion maps for high-dimensional single-cell analysis of differentiation data
    Haghverdi, Laleh
    Buettner, Florian
    Theis, Fabian J.
    BIOINFORMATICS, 2015, 31 (18) : 2989 - 2998
  • [28] Analysis of chaotic saddles in high-dimensional dynamical systems: The Kuramoto-Sivashinsky equation
    Rempel, EL
    Chian, ACL
    Macau, EEN
    Rosa, RR
    CHAOS, 2004, 14 (03) : 545 - 556
  • [29] Ordinal pattern-based complexity analysis of high-dimensional chaotic time series
    Kottlarz, Inga
    Parlitz, Ulrich
    CHAOS, 2023, 33 (05)
  • [30] High-dimensional discriminant analysis
    Bouveyron, Charles
    Girard, Stephane
    Schmid, Cordelia
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (13-16) : 2607 - 2623
12345