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Journal Article

Orbital carriers and inheritance in discrete-time quadratic dynamics


Gallas,  Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gallas, J. A. C. (2020). Orbital carriers and inheritance in discrete-time quadratic dynamics. International Journal of Modern Physics C, 31(7): 2050100. doi:10.1142/S0129183120501004.

Cite as: https://hdl.handle.net/21.11116/0000-0007-869D-1
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 k <= 12 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.