LATENT REFERENCES / TAG2
Hopf Bifurcation
Original title: ホップ分岐
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In dynamical systems, a Hopf bifurcation is a type of bifurcation in which a periodic solution emerges through a change in the system’s stability. More precisely, it is a local bifurcation in which a fixed point of a dynamical system loses stability when two complex-conjugate eigenvalues of its linear approximation cross the imaginary axis in the complex plane. For sufficiently general dynamical systems, a small-amplitude limit cycle bifurcates from the fixed point.
力学系においてホップ分岐とは、系の安定性の変化により周期解が生じる分岐の一種である。 より正確には、線形近似に対する複素共役な二つの固有値が複素平面の虚軸を横切る際に、ある力学系の固定点が安定性を失う局所的な分岐のことをいう。 ある程度一般的な力学系に対しては、固定点から小さい振幅のリミットサイクルが分岐する。
Source updated 2023-08-07 · Snapshot 2026-10-08
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Cosine values measure shared lexical features, not truth, agreement or identical meaning. Original reference links are labeled separately.
- Limit CycleComputed lexical cosine similarity 0.125 · shared title, text, tags and references