Spatiotemporal chaos in mixed linear-nonlinear two-dimensional coupled logistic map lattice

被引:36
作者
Zhang Ying-Qian [1 ]
He Yi [2 ]
Wang Xing-Yuan [3 ]
机构
[1] Xiamen Univ, Tan Kah Kee Coll, Sch Informat Sci & Technol, Zhangzhou 363105, Peoples R China
[2] Dalian Univ Technol, City Inst, Dalian 116600, Peoples R China
[3] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
基金
中国国家自然科学基金;
关键词
Chaos; Spatiotemporal; Arnold Cat Map; Coupled Map Lattices; TURBULENCE; BEHAVIOR; SYSTEMS;
D O I
10.1016/j.physa.2017.07.019
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate a new spatiotemporal dynamics with mixing degrees of nonlinear chaotic maps for spatial coupling connections based on 2DCML. Here, the coupling methods are including with linear neighborhood coupling and the nonlinear chaotic map coupling of lattices, and the former 2DCML system is only a special case in the proposed system. In this paper the criteria such Kolmogorov Sinai entropy density and universality, bifurcation diagrams, space-amplitude and snapshot pattern diagrams are provided in order to investigate the chaotic behaviors of the proposed system. Furthermore, we also investigate the parameter ranges of the proposed system which holds those features in comparisons with those of the 2DCML system and the MLNCML system. Theoretical analysis and computer simulation indicate that the proposed system contains features such as the higher percentage of lattices in chaotic behaviors for most of parameters, less periodic windows in bifurcation diagrams and the larger range of parameters for chaotic behaviors, which is more suitable for cryptography. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:148 / 160
页数:13
相关论文
共 39 条
[1]  
Abernethy G. M., 2016, PHYSICA A, V465, P762
[2]  
[Anonymous], CHAOS
[3]  
Banerjee S., 2015, PHYSICA A, V391, P107
[4]   A symmetric image encryption scheme based on 3D chaotic cat maps [J].
Chen, GR ;
Mao, YB ;
Chui, CK .
CHAOS SOLITONS & FRACTALS, 2004, 21 (03) :749-761
[5]   Optimal windows of rewiring period in randomly coupled chaotic maps [J].
Chen, Yuehua ;
Xiao, Jinghua ;
Wu, Ye ;
Li, Lixiang ;
Yang, Yixian .
PHYSICS LETTERS A, 2010, 374 (31-32) :3185-3189
[6]   Self-organized memories in coupled map lattices [J].
de Pontes, Jose C. A. ;
Batista, Antonio M. ;
Viana, Ricardo L. ;
Lopes, Sergio R. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 368 (02) :387-398
[7]   VELOCITY-DEPENDENT LYAPUNOV EXPONENTS AS A MEASURE OF CHAOS FOR OPEN-FLOW SYSTEMS [J].
DEISSLER, RJ ;
KANEKO, K .
PHYSICS LETTERS A, 1987, 119 (08) :397-402
[8]   Collective behavior in coupled chaotic map lattices with random perturbations [J].
dos Santos, A. M. ;
Viana, R. L. ;
Lopes, S. R. ;
Pinto, S. E. de S. ;
Batista, A. M. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (07) :1655-1668
[9]   Normally attracting manifolds and periodic behavior in one-dimensional and two-dimensional coupled map lattices [J].
Giberti, Claudio ;
Vernia, Cecilia .
CHAOS, 1994, 4 (04) :651-663
[10]   Nonuniversal dependence of spatiotemporal regularity on randomness in coupling connections [J].
Jabeen, Zahera ;
Sinha, Sudeshna .
PHYSICAL REVIEW E, 2008, 78 (06)