Generalized Logistic Maps and Convergence

Steven Finch

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arXiv · 2409.15175

Generalized Logistic Maps and Convergence

Steven Finch

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Abstract

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.

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Steven Finch. 2024-09-23. Generalized Logistic Maps and Convergence. https://arxiv.org/abs/2409.15175

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