Simple recursions displaying interesting evolutions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.00370 v1 pith:NBHB7QJJ submitted 2024-05-01 nlin.SI

Francesco Calogero This is my paper · ORCID

classification nlin.SI

keywords recursionssimpleascertainedbehaviourcompletelydisplayingevolutionsidentified

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

Some simple nonlinear recursions which can be completely managed are identified and the behaviour of all their solutions is ascertained.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Some properties of the simple nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ with $p$ an arbitrary positive integer
nlin.SI 2025-01 conditional novelty 4.0 of 10

For the recursion y_{n+1}=(1-y_n)^p with p a positive integer, real solutions are either asymptotically 2-periodic between 0 and 1 or diverge, depending on the initial value.