The ”Brusselator” is a mathematical model for a class ofoscillating chemical reactions
x'= 1?(b+ 1)x+a(x^2)y
y?= bx?a(x^2)y
where x,y ? 0 are the concentrations of the chemical and a and bare positive constants
(a) Find the value of x and y at the equilibrium point.
(b) Find values of a and b that give (i) a stable node (ii) anunstable node (iii) a stable spiral (iv) an unstable
spiral (v) a saddle point. (Not all are possible)
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