When is the steady state of a one-dimensional functions: R R stable and when is it asymptotically (globally) stable? How do the definitions change if a multidimen- sional function F:R" + R" is considered? Points) Consider the difference equation It+1 = f(x) where f(x,x) = 24x + 3c. For which parameter value y is the steady state i = 0 a non-hyperbolic point. Which type of bifurcation does i undergo? When is the steady state of a one-dimensional functions: R R stable and when is it asymptotically (globally) stable? How do the definitions change if a multidimen- sional function F:R" + R" is considered? Points) Consider the difference equation It+1 = f(x) where f(x,x) = 24x + 3c. For which parameter value y is the steady state i = 0 a non-hyperbolic point. Which type of bifurcation does i undergo