Memoirs of the American Mathematical Society 1983; 190 pp; softcover Volume: 44 ISBN10: 0821822845 ISBN13: 9780821822845 List Price: US$29 Individual Members: US$17.40 Institutional Members: US$23.20 Order Code: MEMO/44/284
 Reviews "The technical results are surrounded by enough narrative to make the book readable without total immersion, in agreeable contrast to some earlier texts on topological dynamics. The many exercises contain some of the details of proofs, as well as pointers to other areas and a number of individual gems. This will be a useful book for readers of a topological bent already familiar with the basics of dynamical systems theory; it contains much fundamental material, tells a unified story, and has appeared at the right time."  Bulletin of the London Mathematical Society Table of Contents 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
