Hi everyone.
My task from difference equations is:
Lets suppose we have a nonlinear dynamic system x(t+1) = f(x(t)) , the status space X from R (real) and a fixed point xHAT.
Find a function f from C1 and a set X from R (real) , so that f ' (xHAT) = 1 and xHAT is stable, but NOT ASYMPTOTICALLY stable fixed point of our system.
Any suggestions?
Thx,
Naena