1. Let's look at a different parameterization of the Higgins-Selkov model, S' = vo - 0.23SP2 P = 0.235P2 - 0.4P a) Regardless of the value of Vo. this system has one equilibrium point. Find its coor- dinates in terms of vo- b) Find the Jacobian matrix of this system at the equilibrium point. Again, this will have to be in terms of vo. c) In reality, the value of vo can vary from around 0.48 to 0.60. For some of these values of vo. the system will exhibit oscillations ( there will be a limit cycle attractor). At what exact value of vo does the Hopf bifurcation occur