论文标题
离散时间二次动态中的轨道载体和继承
Orbital carriers and inheritance in discrete-time quadratic dynamics
论文作者
论文摘要
{\ sl Orbital载体}的显式公式为$ 4 $，$ 5 $和$ 6 $，用于离散时间二次动态。还报告了对{\ sl轨道继承}的系统调查高达$ k \ leq 12 $。继承意味着未知轨道可以通过已知轨道的非线性变换获得。这种嵌套的{\ sl Orbit在轨道分层中}显示轨道不一定要彼此独立。轨道分层对于重新排列轨迹的重新排列可能是显着的，该轨迹总和是原子理光谱的现代半经典解释的痕量公式。随着轨道周期的增长，分层似乎占主导地位。
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.
