Bifurcation and Symmetry

Cross Influence between Mathematics and Applications

ISBN: 978-3-0348-7538-7 (Print) 978-3-0348-7536-3 (Online)

Table of contents (28 chapters)

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  1. Front Matter

    Pages I-VIII

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    Book Chapter

    Pages 1-10

    Exploiting Equivariance in the Reduced Bifurcation Equations

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    Book Chapter

    Pages 11-22

    The homoclinic twist bifurcation point

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    Pages 23-33

    High Corank Steady-State Mode Interactions on a Rectangle

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    Pages 35-47

    Numerical Investigation of the Bifurcation from Travelling Waves to Modulated Travelling Waves

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    Pages 49-58

    Mode Interactions of an Elliptic System on the Square

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    Pages 59-73

    Secondary, Tertiary and Quarternary States of Fluid Flow

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    Book Chapter

    Pages 75-83

    Hopf-type bifurcations in the presence of linear and nonlinear symmetries

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    Pages 85-97

    On Diffusively Coupled Oscillators

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    Pages 99-109

    Mechanisms of Symmetry Creation

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    Book Chapter

    Pages 111-122

    Generic Bifurcations of Pendula

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    Pages 123-133

    Symmetry Aspects of 3-Periodic Minimal Surfaces

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    Book Chapter

    Pages 135-145

    Hopf bifurcation at non-semisimple eigenvalues: a singularity theory approach

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    Book Chapter

    Pages 147-156

    On Trigonometric Collocation in Hopf Bifurcation

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    Book Chapter

    Pages 157-168

    Exploiting Symmetry in Solving Linear Equations

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    Pages 169-177

    Symmetry and Preservation of Nodal Structure in Elliptic Equations Satisfying Fully Nonlinear Neumann Boundary Condtions

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    Pages 179-189

    A New Approach for Solving Singular Nonlinear Equations

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    Book Chapter

    Pages 191-202

    Quasiperiodic drift flow in the Couette-Taylor problem

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    Book Chapter

    Pages 203-213

    Numerical applications of equivariant reduction techniques

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    Book Chapter

    Pages 215-228

    Numerical Bifurcation Analysis of a Model of Coupled Neural Oscillators

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    Book Chapter

    Pages 229-240

    Numerical Exploration of Bifurcations and Chaos in Coupled Oscillators

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