| PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS |
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| 引用本文： | 赵晓华,李继彬,黄克累. PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS[J]. 数学物理学报(B辑英文版), 1995, 0(4) |
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| 作者姓名： | 赵晓华 李继彬 黄克累 |
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| 摘 要： | ＰＥＲＩＯＤＩＣＯＲＢＩＴＳＩＮＰＥＲＴＵＲＢＥＤＧＥＮＥＲＡＬＩＺＥＤＨＡＭＩＬＴＯＮＩＡＮＳＹＳＴＥＭＳＺｈａｏＸｉａｏｈｕａ（赵晓华）Ｄｅｐｔ．ｏｆＭａｔｈ．ｏｆＹｕｎｎａｎＵｎｌｙ．＆Ｉｕｓｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．ｏｆＹｕｎｎａｎＰｒｏｖ...
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PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS |
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| Zhao Xiaohua. PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS[J]. Acta Mathematica Scientia, 1995, 0(4) |
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| Authors: | Zhao Xiaohua |
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| Abstract: | 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 ekistence, stability and bifurcation theorems and illustrate our results with a truncated spectral model of the forced, dissipative quasi-geostrophic flow on a cyclic p-plane. |
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| Keywords: | Generalized Hamiltonian system periodic orbit Melnikov method. |
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