一类差分方程的不变曲线分枝

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基金项目: 云南省自然科学基金资助(1999A0018M)

Bifurcations of Invariant Curves of a Difference Equation

Institute of Science, Kunming University of Science and Technology, Kunming 650093, P R China

摘要: 讨论一类差分方程的不变曲线分枝。由于该差分方程所定义的动力系统是可积的,故该方程的不变曲线的讨论可化为对平面Hamilton系统所定义的轨线的拓扑分类的研究。通过严格的定性分析,获得其不变曲线在参数空间内的分类。
- 差分方程 /
- Hamilton系统 /
- 不变曲线
Abstract: Bifurcation of the invariant curves of a difference equationis studied. The system defined by the difference equation is integrable, sothe study of the invariant curves of the difference system canbecome the study of topological classification of the planar phase portraits defined by a planar Hamiltonia system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained.
- difference equation /
- Hamiltonian system /
- invariant curve

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