混合扰动下从闭轨族分支空间周期解

Bifurcation of space periodic solution from a family of closed orbits with mixed-perturbation

目的判断三维系统从闭轨分支空间周期解。方法利用中心流形定理并结合平面系统的分支理论。结果得到了两个判断一般三维系统从闭轨分支空间周期解的定理。结论推广了已有的平面系统的结果。

Aim To judge the space periodic solution of ordinary three-dimension system bifurcated from a family of closed orbits with mixed-perturbation. Methods Using the theorem of center manifold and bifurcation theory of planar system. Results Two judgement theorems on three-dimension system bifurcate space periodic solution are obtained. Conclusion The results of predecessors are extended.