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Arnold Tongues
Original title: アーノルドの舌
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English translation of the archived note. JP shows the original text. Source links and literal code are retained; the translation does not update or independently verify the source claims.
In mathematics, particularly dynamical systems theory, an Arnold tongue (Japanese reading: Arnold no shita; English: Arnold tongue) for a finite-parameter family of circle maps is a region of parameter space in which the map has a locally constant rational rotation number (English version). Named after Vladimir Arnold. In other words, it is a level set of the rotation number with a nonempty interior.
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数学の、特に力学系理論において、ある円周写像の有限パラメータ族のアーノルドの舌（アーノルドのした、英: Arnold tongue）とは、パラメータ空間内でその写像が局所的に一定な有理回転数（英語版）を持つ領域のことを言う。ウラジーミル・アーノルドの名にちなむ。言い換えると、回転数の等位集合でその内部が空でないもののことを言う。
https://scrapbox.io/files/68edf15bf3ab5cddeca24b4f.png
https://scrapbox.io/files/68edf1ac3920ffca4d635a24.png
Source updated 2025-10-14 · Snapshot 2026-10-08
Source links and calculated neighbors
Cosine values measure shared lexical features, not truth, agreement or identical meaning. Original reference links are labeled separately.
- Arnold SchoenbergComputed lexical cosine similarity 0.174 · shared title, text, tags and references
- Monument to the Third InternationalComputed lexical cosine similarity 0.109 · shared title, text, tags and references
- Newhouse's TheoremComputed lexical cosine similarity 0.092 · shared title, text, tags and references