Generalized Logistic Maps and Convergence
<|reference_start|>Generalized Logistic Maps and Convergence: We treat three cubic recurrences, two of which generalize the famous iterated map $x \mapsto x (1-x)$ from discrete chaos theory. A feature of each asymptotic series developed here is a constant, dependent on the initial condition but otherwise intrinsic to the function at hand.<|reference_end|>
@article{finch2024generalized,
    title={Generalized Logistic Maps and Convergence},
    author={Steven Finch},
    journal={arXiv preprint arXiv:2409.15175},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.15175},
    primaryClass={math.DS cs.DM math.CO}
}