Stabilizing coupled map lattice systems with adaptive adjustment.
The adaptive adjustment mechanism is applied to stabilization of a general coupled-map lattice system defined by x(i,t+1)=f(x(i,t))+C(i)(x(i,t),x(i-1,t))+D(x(i,t),x(i-1,t)), where f: R-->R is a nonlinear map, and C(i),D(i): R2-->R are coupling functions that satisfy C(i)(x,x)=0 and D(i)(x,x)=0, for all x in R, i=1,2, em leader,n. Sufficient conditions and ranges of adjustment parameters that guarantee the local stability of a synchronized fixed point are provided. Numerical simulations demonstrate the effectiveness and efficiency for this mechanism to stabilize the system to an originally unstable synchronized fixed point or a periodic orbit.