2. (More about chaos.) (4 marks) Consider the following discrete-time dynamical system: xn=xn1+Axn12 where A is the parameter. This system has two steady states given as x=A. Determine the parameter range for which these steady states are (a) stable (b) unstable (c) Start with A=0.1 and plot the last 50 iterations on time course diagram. Then increase the value of A to show how the system moves from a stable to unstable state. (Please use A=0.1,0.5,1.0,1.1,1.5 and 1.6 to show, so that everyone is at the same pace). Include all your graphs when answering this