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arXiv · 2406.16570

A Discussion of Arnold's Limit Problem and its Geometric Argument

Keising Honn
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Abstract

Upon re-examining Arnold's established lemma for explaining his famous limit problem, we have determined that while the lemma itself is correct, there is a defect in the original geometric proof. In this paper, we prove the correctness of the lemma using methods of power series, and construct a counterexample to illustrate the defect in Arnold's geometric proof.

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Keising Honn. 2024-03-17. A Discussion of Arnold's Limit Problem and its Geometric Argument. https://doi.org/10.1007/s00283-024-10355-0

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