Hopf Bifurcation in the Two Locus Genetic Model.

Format:

Book

Author/Creator:

Akin, Ethan.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.44

Language:

English

Subjects (All):

Bifurcation theory.

Genetics--Mathematical models.

Local Subjects:

Bifurcation theory.

Genetics--Mathematical models.

Physical Description:

1 online resource (200 p.)

Edition:

1st ed.

Other Title:

Memoirs of the American Mathematical Society

Place of Publication:

Providence : American Mathematical Society, 1983.

Language Note:

English

Contents:

""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""

Notes:

Description based upon print version of record.

Description based on print version record.

Bibliography: p. 186.

ISBN:

1-4704-0694-2