 ##  [Hopf Bifurcation](/index.php/hopf-bifurcation) 

  ##  [Hopf Bifurcation](https://natural.quantumdictionary.io/hopf-bifurcation-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A local bifurcation in a smooth dynamical system where an equilibrium changes stability as a conjugate pair of complex eigenvalues crosses the imaginary axis, causing a family of small-amplitude periodic orbits to be created or destroyed.