Y. Jiang et P. Parmananda, SPATIAL COHERENCE IN AN OPEN FLOW MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 2499-2502
A one-dimensional asymmetrically coupled map lattice model is studied
extensively by numerical simulations. It is shown that with open bound
ary conditions, the one-way coupled logistic lattices can exhibit spat
ially uniform, but temporally chaotic states that are stable in the pr
esence of low-level noise. It is found that the spatially uniform unst
able steady state of the system can be stabilized via single point con
trol or pinning at the boundary site. In the spatially coherent and te
mporally chaotic regimes, a local finite disturbance may generate a pr
opagating localized turbulent patch, which grows in size as it is swep
t downstream.