Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems.

Hopf, E. (1942). Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Berichte der Sächsischen Akademie der Wissenschaften, 94, 1-22.

Type

Journal article

Intellectual base

Primary research

Year

1942

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no authoritative link yet

Cited from

physics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Instability
  • eigenvalue analysis; bifurcation theory, with foundational work by Hopf in 1942

    This sourceEstablishes the Hopf bifurcation theorem — the condition under which a periodic orbit emerges from a fixed point as a parameter crosses a critical value; provides the mathematical criterion for the onset of oscillation from a stable equilibrium. Cross-links with oscillation (DP-12 G1).

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