the string[@IshiharaKozaki]. We perform this procedure of identification for stationary rotating strings as the first step, in this paper. As a result, we show that the system of stationary rotating strings can be formulated as the dynamical system of particles moving along geodesics in two-dimensional curved spaces. It is important to clarify the geometrical structure of the two-dimensional space to understand the stationary rotating strings. This viewpoint is another motivation of this paper.

This paper is organized as follows. In Section 2 we formulate the system of stationary rotating strings in Minkowski spacetime as dynamical systems of particles. In Section 3 general solutions for the system are presented. In Section 4 we examine physical properties of the stationary rotating strings. Finally, Section 5 is devoted to discussions.

Stationary Rotating Strings in Minkowski Spacetime {#2_string}
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Equations of Motion for Cohomogeneity-One Strings
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A string is a two-dimensional world surface $\Sigma$ in a target spacetime ${\cal M}$. The embedding of $\Sigma$ in ${\cal M}$ is described by $$x^\mu = x^\mu (\zeta^a),$$ where $ x^\mu $ are coordinates of ${\cal M}$ and $\zeta^a ~(\zeta^0=\tau ,\zeta^1=\sigma)$ are two parameters on $\Sigma$. We assume that the dynamics of string is governed by the Nambu-Goto 