Spatial coherence in an open flow model

A one-dimensional asymmetrically coupled map lattice model is studied extensively by numerical simulations. It is shown that with open boundary conditions, the one-way coupled logistic lattices can exhibit spatially uniform, but temporally chaotic states that are stable in the presence of low-level noise. It is found that the spatially uniform unstable steady state of the system can be stabilized via single point control or pinning at the boundary site. In the spatially coherent and temporally chaotic regimes, a local finite disturbance may generate a propagating localized turbulent patch, which grows in size as it is swept downstream.