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.
Cited by¶
1 citation across 1 artifact.
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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).
- eigenvalue analysis; bifurcation theory, with foundational work by Hopf in 1942
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