Observe that (0,0) is a fixed point of the system:
x_(n+1) = u*x_n - y_n + (y_n)^2
y_(n+1) = x_n + (x_n)^4 + y_n
Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.
To investigate stability near a fixed point, we linearize the equation near the ...