Computational methods for bifurcation problems with symmetries - with special attention to steady state and Hopf bifurcation points

From MaRDI portal
Publication:1124301

DOI10.1016/0377-0427(89)90150-7zbMath0678.65064OpenAlexW2060571282MaRDI QIDQ1124301

Michael Dellnitz, Bodo Werner

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90150-7




Related Items

Generic movement of eigenvalues for equivariant self-adjoint matricesA group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shellOptimization of Hopf Bifurcation PointsA group-theoretic approach to the bifurcation analysis of spatial Cosserat-rod frameworks with symmetryNumerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural NetworksA Review on Multiple Purely Imaginary Spectral Values of Time-Delay SystemsSome computational aspects of a group theoretic finite element approach to the buckling and postbuckling analyses of plates and shells of revolutionLocal and global aspects of the (1,\(n\)) mode interaction for capillary- gravity wavesSymmetry breaking Hopf bifurcations in equation with O(2) symmetry with application to the Kuramoto-Sivashinsky equationDynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approachBifurcation analysis of symmetric structures using block-diagonalizationFurther remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical systemModified stiffness iteration to pinpoint multiple bifurcation points.Understanding the global solutions of the capillary-gravity wave problemNumerical detection of symmetry breaking bifurcation points with nonlinear degeneraciesAn Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem


Uses Software


Cites Work