Hopf Bifurcation in the Two Locus Genetic Model

I. 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; II. 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; III. Programs and examples: The general program; The symmetric program; Sample computations; Bibliography.