Cycles in simple genetic systems: The space of selection matrices
Eigenvalues, eigenvectors and linear differential equations
Nonlinear equilibria and Hopf bifurcations
The Hopf bifurcation locus
Parametrization of $\Sigma_H$
Symmetries Concluding remarks
Parametric description of the Hopf locus: Linear maps, bilinear forms and matrices
Coordinates and the cylindrical frame
Linearizations and Hessians
The parametrization
Symmetric cases MARMC
Asymptotic estimates
Programs and examples: The general program
The symmetric program
Sample computations
Bibliography
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