is it possible to find general solution of the recurrence relation such as
$a_{n}=a_{n-1}+A\centerdot \cos(a_{n-1})$
where $a_{0}=0$ and $A \ll 1$
EDIT: At least for
$a_{n}=a_{n-1}+A - \frac{A}{2!}\centerdot a^2_{n-1} + \frac{A}{4!}\centerdot a^4_{n-1}$
where cosine is expanded with Taylor Series with 3 terms