Complex Ginzburg-Landau Equation for Hopf bifurcationNear criticality of Hopf, matrix expansion:
 The critical eigenvalue expansion:
 Eigenequations:
 The cubic GL equation:
 where:
 Rescaling:
 It turns into
 Again by
 The normal form:
 |
Complex Ginzburg-Landau Equation for Hopf bifurcationNear criticality of Hopf, matrix expansion:
The critical eigenvalue expansion:
Eigenequations:
The cubic GL equation:
where:
Rescaling:
It turns into
Again by
The normal form:
|