Edge of Spatial Chaos in Nonlinear Networks with Local Connections

@inproceedings{Andreyev1999EdgeOS,
  title={Edge of Spatial Chaos in Nonlinear Networks with Local Connections},
  author={Yuri V. Andreyev and Alexander S. Dmitriev and Sergey O. Starkov},
  year={1999}
}
In this report, we investigate phenomena on the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1-D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent λ of the isolated chaotic map is greater than some… CONTINUE READING