Controlling spatiotemporal chaos in coupled map lattice systems

1994 ◽  
Vol 72 (1) ◽  
pp. 68-71 ◽  
Author(s):  
Hu Gang ◽  
Qu Zhilin
Keyword(s):  
Spatiotemporal Chaos ◽  
Coupled Map Lattice ◽  
Lattice Systems

Spatiotemporal chaos in improved cross coupled map lattice and its application in a bit-level image encryption scheme

2021 ◽  
Vol 544 ◽  
pp. 1-24
Author(s):  
Mingxu Wang ◽  
Xingyuan Wang ◽  
Tingting Zhao ◽  
Chuan Zhang ◽  
Zhiqiu Xia ◽  
...  
Keyword(s):  
Image Encryption ◽  
Spatiotemporal Chaos ◽  
Coupled Map Lattice ◽  
Encryption Scheme

scholarly journals On the stabilization of internally coupled map lattice systems

2004 ◽  
Vol 2004 (2) ◽  
pp. 345-356 ◽  
Author(s):  
Weihong Huang
Keyword(s):  
Steady State ◽  
Periodic Orbit ◽  
Local Stability ◽  
Sufficient Conditions ◽  
Coupled Map Lattice ◽  
Coupling Constants ◽  
Lattice Systems ◽  
Adjustment Mechanism ◽  
Adaptive Adjustment ◽  
Effectiveness And Efficiency

The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined byxi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), wheref:ℝ→ℝis a nonlinear map, andαandβare nonnegative coupling constants that satisfy the constraintαi+βi<1, for allx∈ℝ,i=1,2,…,n. Sufficient conditions and ranges of adjustment parameters that guarantee the local stability of a generic steady state have been provided. Numerical simulations have demonstrated the effectiveness and efficiency for this mechanism to stabilize the system to a generic unstable steady state or a periodic orbit.

Spatiotemporal chaos in a 2D coupled map lattice with pinning-like force

1999 ◽  
Vol 132 (1-2) ◽  
pp. 87-99 ◽  
Author(s):  
Saul L. Ginzburg ◽  
Valery I. Sbitnev
Keyword(s):  
Spatiotemporal Chaos ◽  
Coupled Map Lattice
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