Bifurcation: Analysis, Algorithms, Applications

Table of Contents

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   Book Overview
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   Chapter 1 The Effect of Discretization on Homoclinic Orbits
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   Chapter 2 Bifurcation in Elliptic Systems
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   Chapter 3 Transition to Asymmetric Convection Rolls
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   Chapter 4 Wave Patterns in Coupled Stationary Bifurcations with 0(2)-Symmetry
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   Chapter 5 Determination of Bifurcation Points and Catastrophes for the Brusselator Model with Two Parameters
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   Chapter 6 Numerical Studies of Bifurcation in Reaction-Diffusion Models Using Pseudo-Spectral and Path-Following Methods
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   Chapter 7 A quick multiparameter test for periodic solutions
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   Chapter 8 Codimension Two Bifurcations Near an Invariant n-Torus
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    Chapter 9 Hopf Bifurcation in the Drilling Process under Regenerative Cutting Conditions
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    Chapter 10 Critical Points of Mixed Fluids and their Numerical Treatment
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    Chapter 11 Bifurcation Theory in Physics: Recent Trends and Problems
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    Chapter 12 An Application of Complex Bifurcation to a Problem in Computer Graphics
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    Chapter 13 Continuation of Periodic Solutions in Parabolic Partial Differential Equations
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    Chapter 14 Bifurcation in Degenerate Directions
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    Chapter 15 On Cornu Spirals. Disorder, Selfsimilarity, and Jacobi’s θ 3 (ν,τ)
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    Chapter 16 Optimization in Bifurcation Problems using a Continuation Method
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    Chapter 17 On the Numerical Study of Bifurcation Problems
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    Chapter 18 External Forcing in a Glycolytic Model
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    Chapter 19 Some Remarks on the Morphology of Non-Unique Solutions in Nonlinear Elastostatics
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    Chapter 20 Lusternik-Schnirelmann Critical Values and Bifurcation Problems
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    Chapter 21 Adaptive Numerical Lyapunov-Schmidt-Reduction
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    Chapter 22 Formation of Periodic and Aperiodic Waves in Reaction-Diffusion Systems
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    Chapter 23 Steady Axisymmetric Taylor Vortex Flows with Free Stagnation Points of the Poloidal Flow
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    Chapter 24 Some Remarks on the Deflated Block Elimination Method
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    Chapter 25 Nonlinear Dynamic Behavior and Buckling of Shells of Revolution
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    Chapter 26 The Curious Link Chain
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    Chapter 27 On a Moving-Frame Algorithm and the Triangulation of Equilibrium Manifolds
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    Chapter 28 Numerical computation of origins for Hopf bifurcation in a two-parameter problem
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    Chapter 29 Bifurcations of the Equilibrium of a Spherical Double Pendulum at a Multiple Eigenvalue
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    Chapter 30 Multiple solutions of the semiconductor equations
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    Chapter 31 Delay as Bifurcation Parameter
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    Chapter 32 Bifurcation from the Continuous Spectrum in L p (ℝ)
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    Chapter 33 Bifurcation Problems in Railway Vehicle Dynamics
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    Chapter 34 Bifurcation and Post-Bifurcation Behaviour for Elastic-Plastic Solids
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    Chapter 35 Symmetry-Breaking at Positive Solutions of Elliptic Equations
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    Chapter 36 Averaging Over Angles with an Application to Rotor Dynamics