离散时间二次动力学中的轨道载流子和遗传
Orbital carriers and inheritance in discrete-time quadratic dynamics
摘要：
给出了离散时间二次动力学中周期为$4$、$5$和$6$的{ \sl轨道载流子}的显式表达式。本文还报道了一个高达$k\leq 12$周期的{ \sl轨道遗传}的系统研究。继承意味着未知轨道可以通过已知轨道的非线性变换来获得。这种嵌套的{轨道分层内的\sl轨道}表明轨道不一定如通常假设的那样彼此独立。轨道分层对于重新排列原子物理学谱的现代半经典解释的迹公式中的轨迹和具有潜在的意义。随着轨道周期的增长，分层似乎占主导地位。
英文摘要：
Explicit formulas for {\sl orbital carriers} of periods $4$, $5$, and $6$ are reported for discrete-time quadratic dynamics. A systematic investigation of {\sl orbital inheritance} for periods as high as $k\leq 12$ is also reported. Inheritance means that unknown orbits may be obtained by nonlinear transformations of known orbits. Such nested {\sl orbit within orbit stratification} shows orbits not to be necessarily independent of each other as generally assumed. Orbital stratification is potentially significant to rearrange trajectories sums in trace formulas underlying modern semiclassical interpretations of atomic physics spectra. The stratification seems to dominate as the orbital period grows.
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