数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (4): 370-384.
赵晓华1, 李继彬2, 黄克累3
Zhao Xiaohua1, Li Jibin2, Huang Kelei3
摘要: In this paper, we develop a global perturbation technique for the study of periodic orbits in three-dimensional, time dependent and independent, perturbations of generalized Hamiltonian differential equations defined on three-dimensional Poisson manifolds. We give existence, stability and bifurcation theorems and illustrate our results with a truncated spectral model of the forced, dissipative quasi-geostrophic flow on a cyclic β-plane.