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一类差分方程的不变曲线分枝
Bifurcations of Invariant Curves of a Difference Equation
【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
【Abstract】 Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become 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.
【基金】 云南省自然科学基金资助 (1999A0 0 18M)
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2001年09期
- 【分类号】O175.7
- 【下载频次】33