Words similar to hopf

Example sentences for: hopf

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Whenever a stable periodic solution loses stability as we vary the underlying parameters of the system and this solution transitions to another qualitative solution - for example, a steady-state equilibrium - we say that the system undergoes a Hopf bifurcation.
The particular parameters were either increased or decreased so as to bring them closer to the Hopf bifurcation.
These diagrams illustrate that Hopf bifurcations occur for each parameter; that is, the oscillatory behaviour exists only in a limited range of parameters around the nominal value.
Suppose that Hopf bifurcations occur at