scholarly journals A spatiotemporal chaotic system based on pseudo-random coupled map lattices and elementary cellular automata

2021 ◽  
Vol 151 ◽  
pp. 111217
Author(s):  
Youheng Dong ◽  
Geng Zhao
2021 ◽  
Author(s):  
Youheng Dong ◽  
Zhao Geng

Abstract The coupled map lattices (CML) is a spatiotemporal chaotic system with complex dynamic behavior. In this paper, we propose a spatiotemporal chaotic system with a novel pseudo-random coupling method based on the elementary cellular automata (ECA), and add different perturbations to lattices in each iteration according to ECA. We investigate the spatiotemporal dynamic properties and chaotic behaviors of the proposed system such as bifurcation diagrams, Kolmogorov-Sinai entropy density, and universality. Moreover, the correlation between any two lattices is discussed. Theory analysis and simulation test indicate that the new system has better performance in complexity, ergodic and unpredictability than conventional CML systems such as adjacent CML and mixed linear-nonlinear CML. Furthermore, the correlation coefficient between any two lattices in proposed system is significantly lower than other systems, and another advantage of the proposed system is utilizing the output of ECA to perturb the chaotic system which can effectively alleviate the dynamical degradation in digital system. The excellent performance of proposed system demonstrates that it has great potential for crypto-system.


2010 ◽  
Vol 19 (3) ◽  
pp. 243-262
Author(s):  
Jiang Zhisong ◽  
◽  
Qin Dakang ◽  

2010 ◽  
Vol 88 (2) ◽  
pp. 239-248
Author(s):  
J. Escuadra Burrieza ◽  
A. Martín del Rey ◽  
J. L. Pérez Iglesias ◽  
G. Rodríguez Sánchez ◽  
A. Queiruga Dios ◽  
...  

2017 ◽  
Vol 90 ◽  
pp. 225-237 ◽  
Author(s):  
Abolfazl Yaghouti Niyat ◽  
Mohammad Hossein Moattar ◽  
Masood Niazi Torshiz

2014 ◽  
Vol 24 (09) ◽  
pp. 1450116 ◽  
Author(s):  
Shigeru Ninagawa ◽  
Andrew Adamatzky ◽  
Ramón Alonso-Sanz

We study elementary cellular automata with memory. The memory is a weighted function averaged over cell states in a time interval, with a varying factor which determines how strongly a cell's previous states contribute to the cell's present state. We classify selected cell-state transition functions based on Lempel–Ziv compressibility of space-time automaton configurations generated by these functions and the spectral analysis of their transitory behavior. We focus on rules 18, 22, and 54 because they exhibit the most intriguing behavior, including computational universality. We show that a complex behavior is observed near the nonmonotonous transition to null behavior (rules 18 and 54) or during the monotonic transition from chaotic to periodic behavior (rule 22).


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