Hopf bifurcation in the two locus genetic model

書誌事項

Hopf bifurcation in the two locus genetic model

Ethan Akin

(Memoirs of the American Mathematical Society, no. 284)

American Mathematical Society, c1983

  • pbk.

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注記

Bibliography: p. 186

Includes index

内容説明・目次

目次

  • 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.

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