Hi, everyone !

i want to know how to solve system of recursive relations.

exactly,

a_n = a_(n-1)^2 +b_(n-1)*c_(n-1)

b_n = [a_(n-1) +d_(n-1)]*b_(n-1)

c_n = [a_(n-1) +d_(n-1)]*c_(n-1)

d_n = b_(n-1)*c_(n-1) + d_(n-1)^2

a_0, b_0, c_0, d_0 are give.

What are a_n, b_n , c_n, d_n ?

( and what is general solution of this form ? )

Any hints, references, solutions are welcomed !

Thanks.