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|a 99044796
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|a 0898714427 (pbk.)
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|a 9780898714425 (pbk.)
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|a (OCoLC)42290210
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|a (OCoLC)42290210
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|a DLC
|b eng
|c DLC
|d MUQ
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|d NLGGC
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|a QA614.8
|b .G68 2000
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100 |
1 |
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|a Govaerts, Willy J. F.
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245 |
1 |
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|a Numerical methods for bifurcations of dynamical equilibria /
|c Willy J.F. Govaerts.
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260 |
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|a Philadelphia, Pa. :
|b Society for Industrial and Applied Mathematics,
|c c2000.
|
300 |
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|a xxii, 362 p. :
|b ill. ;
|c 26 cm.
|
504 |
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|a Includes bibliographical references and index.
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505 |
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|t Nonlinear Equations and Dynamical Systems --
|t Examples from Population Dynamics --
|t Stable and Unstable Equilibria --
|t A Set of Bifurcation Points --
|t A Cusp Catastrophe --
|t A Hopf Bifurcation --
|t An Example from Combustion Theory --
|t Finite Element Discretization --
|t Finite Difference Discretization --
|t Numerical Continuation: Motivation by an Example --
|t An Example of Symmetry Breaking --
|t Linear and Nonlinear Stability --
|t Manifolds and Numerical Continuation --
|t Manifolds --
|t The Tangent Space --
|t Branches and Limit Points --
|t Numerical Continuation --
|t Natural Parameterization --
|t Pseudoarclength Continuation --
|t Steplength Control --
|t Convergence of Newton Iterates --
|t Some Practical Considerations --
|t Bordered Matrices --
|t Introduction: Motivation by Cramer's Rule --
|t The Construction of Nonsingular Bordered Matrices --
|t The Singular Value Inequality --
|t The Schur Inverse as Defining System for Rank Deficiency --
|t Invariant Subspaces of Parameter-Dependent Matrices --
|t Numerical Methods for Bordered Linear Systems --
|t Backward Stability --
|t Algorithm BEM for One-Bordered Systems --
|t Algorithm BEMW for Wider-Bordered Systems --
|t Generic Equilibrium Bifurcations in One-Parameter Problems --
|t Limit Points --
|t The Moore-Spence System for Quadratic Turning Points --
|t Quadratic Turning Points by Direct Bordering Methods --
|t Detection of Quadratic Turning Points --
|t Continuation of Limit Points --
|t Example: A One-Dimensional Continuous Brusselator --
|t The Model and Its Discretization --
|t Turning Points in the Brusselator Model.
|
650 |
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0 |
|a Differentiable dynamical systems.
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650 |
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0 |
|a Differential equations
|x Numerical solutions.
|
650 |
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0 |
|a Bifurcation theory.
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856 |
4 |
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|3 Table of contents
|u http://catdir.loc.gov/catdir/enhancements/fy0708/99044796-t.html
|t 0
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|3 Publisher description
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|a .b17578024
|b 05-02-13
|c 07-25-12
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|h Library of Congress classification
|i Book
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