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Hopf Bifurcation in the Two Locus Genetic Model.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1983Copyright date: ©1983Edition: 1st edDescription: 1 online resource (200 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406943
Subject(s): Genre/Form: Additional physical formats: Print version:: Hopf Bifurcation in the Two Locus Genetic ModelDDC classification:
  • 510 s;575.1/0724
LOC classification:
  • QH438.4.M3 -- A35 1983eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- I. Cycles in Simple Genetic Systems -- 1. The Space of Selection Matrices -- 2. Eigenvalues, Eigenvectors and Linear Differential Equations -- 3. Nonlinear Equilibria and Hopf Bifurcations -- 4. The Hopf Bifurcation Locus -- 5. Parametrization of Σ[sub(H)] -- 6. Symmetries -- 7. Concluding Remarks -- II. Parametric Description of the Hopf Locus -- 1. Linear Maps, Bilinear Forms and Matrices -- 2. Coordinates and the Cylindrical Frame -- 3. Linearizations and Hessians -- 4. The Parametrization -- 5. Symmetric Cases -- 6. MARMC -- 7. Asymptotic Estimates -- III Programs and Examples -- 1. The General Program -- 2. The Symmetric Program -- 3. Sample Computations -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- V -- X.
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Intro -- Table of Contents -- Introduction -- I. Cycles in Simple Genetic Systems -- 1. The Space of Selection Matrices -- 2. Eigenvalues, Eigenvectors and Linear Differential Equations -- 3. Nonlinear Equilibria and Hopf Bifurcations -- 4. The Hopf Bifurcation Locus -- 5. Parametrization of Σ[sub(H)] -- 6. Symmetries -- 7. Concluding Remarks -- II. Parametric Description of the Hopf Locus -- 1. Linear Maps, Bilinear Forms and Matrices -- 2. Coordinates and the Cylindrical Frame -- 3. Linearizations and Hessians -- 4. The Parametrization -- 5. Symmetric Cases -- 6. MARMC -- 7. Asymptotic Estimates -- III Programs and Examples -- 1. The General Program -- 2. The Symmetric Program -- 3. Sample Computations -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- V -- X.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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