Explicit formulas for orbital carriers of periods 4, 5 and 6 are reported for discrete-time quadratic dynamics. A systematic investigation of orbital inheritance for periods as high as [Formula: see text] is also reported. Inheritance means that unknown orbits may be obtained by nonlinear transformations of known orbits. Such nested 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.

中文翻译：

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离散时间二次动力学中的轨道载体和继承

针对离散时间二次动力学报告了周期 4、5 和 6 的轨道载体的显式公式。还报告了对高达 [公式：见正文] 时期的轨道遗传的系统调查。继承意味着未知轨道可以通过已知轨道的非线性变换得到。这种轨道分层内的嵌套轨道表明轨道不一定像通常假设的那样相互独立。轨道分层对于重新排列原子物理光谱现代半经典解释的轨迹公式中的轨迹总和具有潜在的意义。随着轨道周期的增长，分层似乎占主导地位。