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[ADVANCE]

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system
For natural number \( n \) (where \( n \geq 2 \)), for what values of the parameter \( p \) does the following system of equations have at least two sets of real roots?
$$
\left\{
\begin{array}{l}
x_{1}^{4}+\frac{2}{x_{1}^{2}}=p x_{2}, \\
x_{2}^{4}+\frac{2}{x_{2}^{2}}=p x_{3}, \\
\cdots \cdots \\
x_{n-1}^{4}+\frac{2}{x_{n-1}^{2}}=p x_{n}, \\
x_{n}^{4}+\frac{2}{x_{n}^{2}}=p x_{1}
\end{array}
\right.
$$

Present the answer in LaTex format: \boxed{Your answer}
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