Inherent global stabilization of unstable local behavior in coupled map   lattices
  The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global stabilization can be achieved for both synchronous and asynchronous updating. Two necessary conditions for inherent global stabilization are derived analytically. 
H. Atmanspacher and H. Scheingraber