Simulating Spatiotemporal Chaos with Coupled Map Lattices

Synchronization of spatiotemporal chaos is studied using the method of variable feedback with coupled map lattices as model systems. A variety of feedback functions are introduced and the diversity in their choices for synchronizing any given system is exemplified. Synchronization in the presence of noise and with sporadic feedback is also presented.

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Controlling Spatiotemporal Chaos by Pinning Method in Two-Dimensional Coupled Map Lattices

Japanese Journal of Applied Physics ◽

10.1143/jjap.34.l1420 ◽

1995 ◽

Vol 34 (Part 2, No. 10B) ◽

pp. L1420-L1422 ◽

Cited By ~ 3

Author(s):

Yuji Ohishi ◽

Hirotada Ohashi ◽

Mamoru Akiyama

Keyword(s):

Spatiotemporal Chaos ◽

Coupled Map Lattices ◽

Two Dimensional

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Synchronization of spatiotemporal chaos in asymmetrically coupled map lattices

Physical Review E ◽

10.1103/physreve.57.4135 ◽

1998 ◽

Vol 57 (4) ◽

pp. 4135-4139 ◽

Cited By ~ 15

Author(s):

Yu Jiang ◽

P. Parmananda

Keyword(s):

Spatiotemporal Chaos ◽

Coupled Map Lattices

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A method of controlling spatiotemporal chaos in coupled map lattices

Chinese Physics ◽

10.1088/1009-1963/9/5/004 ◽

2000 ◽

Vol 9 (5) ◽

pp. 333-336 ◽

Cited By ~ 2

Author(s):

Luo Xiao-shu ◽

Fang Jin-qing

Keyword(s):

Spatiotemporal Chaos ◽

Coupled Map Lattices

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Spatiotemporal chaos in Arnold coupled logistic map lattice

Nonlinear Analysis Modelling and Control ◽

10.15388/na.18.4.13977 ◽

2013 ◽

Vol 18 (4) ◽

pp. 526-541 ◽

Cited By ~ 18

Author(s):

Ying-Qian Zhang ◽

Xing-Yuan Wang

Keyword(s):

Mutual Information ◽

Numerical Simulations ◽

Bifurcation Diagram ◽

Chaotic System ◽

Logistic Map ◽

Entropy Density ◽

Spatiotemporal Chaos ◽

Spatiotemporal Dynamics ◽

Coupling Method ◽

Coupled Map Lattices

In this paper, we propose a new spatiotemporal dynamics of Arnold coupled logistic map lattice (ACLML). Here, the coupling method between lattices is not a neighborhood coupling but the non-neighborhood of Arnold cat maps. In the proposed system, the criteria such as Kolmogorov–Sinai entropy density and universality, bifurcation diagram, mutual information, space amplitude and space-time diagrams are investigated in this paper. The new features of the proposed system include the lower mutual information between lattices, larger range of parameters for chaotic behaviors, the higher percentage of lattices in chaotic behaviors for most of parameters and less periodic window in bifurcation diagram. These features are more suitable for cryptography. For numerical simulations, we have employed the coupled map lattices system (CML) for comparison. The results indicate that the proposed system has those superior features to the coupled map lattice system (CML). It should be highlighted that the proposed ACLML is a suitable chaotic system for cryptography.

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