Transient on-off intermittency in a coupled map lattice system

1996 ◽  
Vol 53 (1) ◽  
pp. 1232-1235 ◽  
Author(s):  
Fagen Xie ◽  
Gang Hu
Keyword(s):  
Coupled Map Lattice ◽  
Lattice System

On-off intermittency in a coupled-map lattice system

1995 ◽  
Vol 52 (2) ◽  
pp. R1265-R1268 ◽  
Author(s):  
Fagen Xie ◽  
Gang Hu ◽  
Zhilin Qu
Keyword(s):  
Coupled Map Lattice ◽  
Lattice System

Evolutionary-based image encryption using biomolecules and non-coupled map lattice

2021 ◽  
Vol 140 ◽  
pp. 106974
Author(s):  
Ali Asghar Abbasi ◽  
Mahdi Mazinani ◽  
Rahil Hosseini
Keyword(s):  
Image Encryption ◽  
Coupled Map Lattice

Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise

2019 ◽  
Vol 19 (06) ◽  
pp. 1950044
Author(s):  
Haijuan Su ◽  
Shengfan Zhou ◽  
Luyao Wu
Keyword(s):  
White Noise ◽  
Weighted Space ◽  
Sufficient Conditions ◽  
Second Order ◽  
Lattice System ◽  
Exponential Attractor ◽  
Lattice Systems ◽  
Random System ◽  
Multiplicative White Noise ◽  
Infinite Sequences

We studied the existence of a random exponential attractor in the weighted space of infinite sequences for second-order nonautonomous stochastic lattice system with linear multiplicative white noise. Firstly, we present some sufficient conditions for the existence of a random exponential attractor for a continuous cocycle defined on a weighted space of infinite sequences. Secondly, we transferred the second-order stochastic lattice system with multiplicative white noise into a random lattice system without noise through the Ornstein–Uhlenbeck process, whose solutions generate a continuous cocycle on a weighted space of infinite sequences. Thirdly, we estimated the bound and tail of solutions for the random system. Fourthly, we verified the Lipschitz continuity of the continuous cocycle and decomposed the difference between two solutions into a sum of two parts, and carefully estimated the bound of the norm of each part and the expectations of some random variables. Finally, we obtained the existence of a random exponential attractor for the considered system.

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