The local stability and bifurcation of a circus truss antenna under the influence of the thermal excitation are considered using both analytical and numerical methods. On the basis of the obtained four-dimensional averaged equation with 1:2 internal resonance, a kind of eigenvalues of the bifurcation response equation is investigated. By take advantage of the central manifold theory, nonlinear transformation and Routh-Hurwitz criterion, the stable conditions of the equilibrium points are obtained. Finally, the numerical simulations obtained by Runge-Kutta method illustrated the theoretical analysis results.

中文翻译：

---

考虑空间热激励效应的马戏团桁架天线局部分岔

使用解析和数值方法考虑了马戏团桁架天线在热激励影响下的局部稳定性和分叉。在得到的内共振为1:2的四维平均方程的基础上，研究了分岔响应方程的一种特征值。利用中心流形理论、非线性变换和Routh-Hurwitz准则，得到平衡点的稳定条件。最后，通过Runge-Kutta方法得到的数值模拟说明了理论分析结果。