Stabilizing coupled map lattice systems with adaptive adjustment - art. no. 036222

摘要

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: R-2-->R are coupling functions that satisfy C-i(x,x)=0 and D-i(x,x)=0, For All xis an element ofR, i=1,2,...,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. [References: 25]