Let $a,b,c$ be positive real numbers. Find all real solutions $(x,y,z)$ of the system:
\[ ax+by=(x-y)^{2}
\\ by+cz=(y-z)^{2}
\\ cz+ax=(z-x)^{2}\]
\( (0, 0, c) \).

The final answer is \( \boxed{ (0, 0, 0), (0, 0, c), (a, 0, 0), (0, b, 0) } \).