桥轨道分岔的规范形和一致逼近
Normal forms and uniform approximations for bridge orbit bifurcations
摘要：
我们讨论了两个孤立的周期轨道在两个连续的分叉之间交换周期"桥“轨道的各种分叉问题。我们提出了规范形式，局部描述相应的不动点的情况下的庞加莱表面的部分。本文导出了两自由度可积哈密顿系统态密度的一致近似，成功地再现了量子力学的数值结果。
英文摘要：
We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge'' orbit(s) between two successive bifurcations. We propose normal forms which locally describe the corresponding fixed point scenarios on the Poincaré surface of section. Uniform approximations for the density of states for an integrable Hamiltonian system with two degrees of freedom are derived and successfully reproduce the numerical quantum-mechanical results.
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