Bifurcation and symmetry : cross influence between mathematics and applications
Eugene L. Allgower, Klaus Böhmer, Martin Golubitsky, Symmetry Cross Influences between Mathematics · 1992
Exploiting Equivariance in the Reduced Bifurcation Equations.- The Homoclinic Twist Bifurcation Point.- High Corank Steady-State Mode Interaction on a Rectangle.- Numerical Investigation of the Bifurcation from Travelling Waves to Modulated Travelling Waves.- Mode Interactions of an Elliptic System on a Square.- Secondary, Tertiary and Quaternary States of Fluid Flow.- Hopf-type Bifurcations in the presence of Linear and Nonlinear Symmetries.- On Diffusively Coupled Oscillators.- Mechanisms of Symmetry Creation.- Generic Bifurcation of Pendula.- Symmetry Aspects of 3-Periodic Minimal Surfaces.- Hopf Bifurcation at Non-semisimple Eigenvalues: A Singularity Theory Approach.- Trigonometric Collocation in Hopf Bifurcation.- Exploiting Symmetry in Solving Linear Equations.- Symmetry and Preservation of Nodal Structure in Elliptic Equations Satisfying Fully Nonlinear Neumann Boundary Conditions.- A New Approach for Solving Singular Nonlinear Equations.- Quasiperiodic Drift Flow in the Couette-Taylor Problem.- Numerical Applications of Equivariant Reduction Techniques.- Numerical Bifurcation Analysis of a Model of Coupled Oscillators.- Numerical Exploration of Bifurcations and Chaos in Coupled Oscillators.- Hopf bifurcation with Z4 x T2 Symmetry.- Forced Symmetry Breaking from O(3).- Utilization of Scaling Laws and Symmetries in the Path Following of a Semilinear Elliptic Problem.- Linear Stability of Axisymmetric Thermocapillary Convection in Crystal Growth.- An Indirect Approach to Computing Origins of Hopf Bifurcations and its Applications to Problems with Symmetry.- A Version of GMRES for Nearly Symmetric Linear Systems.- Hopf/Steady-state Mode Interaction for a Fluid Conveying Elastic Tube with D4-Symmetric Support.- Test Functions for Bifurcation Points and Hopf Points in Problems with Symmetries.