LATENT REFERENCES / TAG1
Chaos: Sensitivity to Initial Conditions
Original title: カオス 初期値鋭敏性
This reference note belongs to Tag1 in Latent References, an archive curated by Keigo Yoshida. Its archive region is Chaos theory · Lorenz equations. The note preserves its source text and links so that readers can trace the material behind the 3D map.
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Sensitivity to initial conditions in chaos means that even tiny differences in the starting state (initial conditions) lead to greatly differing subsequent results as time passes.
Characteristics of sensitivity to initial conditions
• Butterfly effect: Famous for the analogy that “tiny air disturbances as slight as a butterfly flapping its wings greatly affect weather such as typhoons far away.”
• Impossibility of long-term prediction: even in systems whose futures are fully determined by physical laws and the like (deterministic systems), tiny initial measurement errors expand rapidly over time, making accurate prediction of the distant future impossible.
• Familiar examples: Weather forecasts (accurate several days ahead, difficult weeks ahead), irregular motion of double pendulums, etc.
カオスの初期値鋭敏性とは、最初の状態（初期値）がほんのわずかに違うだけで、時間が経つにつれてその後の結果が大きく変わってしまう性質のことです。
初期値鋭敏性の特徴
• バタフライ効果：「蝶が羽ばたく程度の微小な空気の乱れが、遠く離れた場所の台風などの気象に大きな影響を与える」という例えで有名です。
• 長期予測の不可能性：物理法則などによって将来が完全に決まっている（決定論的）システムであっても、最初のわずかな測定誤差が時間とともに急激に拡大するため、遠い未来を正確に予測できなくなります。
• 身近な例：天気予報（数日先は当たるが、数週間先は予測が困難）、二重振り子の不規則な動きなど。
Source updated 2026-10-06 · 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.
- Chaos: BoundednessComputed lexical cosine similarity 0.180 · shared title, text, tags and references
- Chaos Theory and the Lorenz EquationsComputed lexical cosine similarity 0.160 · shared title, text, tags and references
- Chaos and Infinite SpeedComputed lexical cosine similarity 0.152 · shared title, text, tags and references
- Descriptive Instability in ChaosComputed lexical cosine similarity 0.096 · shared title, text, tags and references
- Chaotic PhenomenaComputed lexical cosine similarity 0.095 · shared title, text, tags and references
- HyperchaosComputed lexical cosine similarity 0.086 · shared title, text, tags and references