Construct · 1 fields · 1 citations

Hopf bifurcation: a standalone construct

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Dynamical systems

the birth of a small periodic oscillation from an equilibrium when a pair of complex eigenvalues crosses into instability as a parameter varies.

In dynamical systems, Hopf bifurcation refers to the birth of a small periodic oscillation from an equilibrium when a pair of complex eigenvalues crosses into instability as a parameter varies. This meaning comes from Marsden (1976) in Applied Mathematical Sciences.[1]

Unit
Recovery means
Measured by

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Nearby constructs

bifurcation3 fields · 5 citationsjingle · one word, three constructs birth3 fields · 5 citationsjingle · one word, three constructs complex4 fields · 4 citationsjingle · one word, four constructs

References

Marsden, J. E., & McCracken, M. (1976). The Hopf Bifurcation and Its Applications. Applied Mathematical Sciences. https://doi.org/10.1007/978-1-4612-6374-6

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