期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 402, 期 -, 页码 104-118出版社
ELSEVIER
DOI: 10.1016/j.physa.2014.01.051
关键词
Chaos; Spatiotemporal; Arnold cat map; Logistic map
资金
- National Natural Science Foundation of China [61370145, 61173183, 60973152]
- Doctoral Program Foundation of Institution of Higher Education of China [20070141014]
- Program for Liaoning Excellent Talents in University [LR2012003]
- National Natural Science Foundation of Liaoning province [20082165]
- Fundamental Research Funds for the Central Universities [DUT12JB06]
We investigate the spatiotemporal dynamics with mixing degrees of nonlinear chaotic maps in coupling connections. Here, the coupling methods between lattices are both linear neighborhood coupling and the nonlinear chaotic map coupling of lattices. While strictly nearest neighborhood coupling is only a special case in the proposed system. We employed the criteria such as Kolmogorov-Sinai entropy density and universality, bifurcation diagrams, space-amplitude and space-time diagrams to investigate the chaotic behaviors of the proposed system in this paper. In fact, the proposed system contains new features for applications of cryptography such as the larger range of parameters for chaotic behaviors, the higher percentage of lattices in chaotic behaviors for most of parameters and less periodic windows in bifurcation diagrams. Furthermore, we also show the parameter ranges of the proposed system which hold those features in cryptography compared with those of the CML system. Finally, we design the encryption scheme based on the proposed system for an explicit illustration. (C) 2014 Elsevier B.V. All rights reserved.
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