Continuation and Bifurcations: Numerical Techniques and Applications

Inhaltsverzeichnis

• Bifurcation to rotating waves from non-trivial steady-states.
• Use of approximate inertial manifolds in bifurcation calculations.
• Understanding steady-state bifurcation diagrams for a model reaction-diffusion system.
• Bifurcations, chaos and self-organization in reaction-diffusion systems.
• Eigenvalue problems with the symmetry of a group and bifurcations.
• Steady-state/steady-state mode interaction in nonlinear equations with Z2-symmetry.
• Symbolic computation and bifurcation methods.
• Bifurcation analysis: a combined numerical and analytical approach.
• to the numerical solution of symmetry-breaking bifurcation problems.
• A computational method and path following for periodic solutions with symmetry.
• Global bifurcations and their numerical computation.
• Computation of invariant manifold bifurcations.
• A method for homoclinic and heteroclinic continuation in two and three dimensions.
• The global attractor under discretisation.
• The numerical detection of Hopf bifurcation points.
• A Newton-like method for simple bifurcation problems with application to large sparse systems.
• Aspects of continuation software.
• Interactive system for studies in nonlinear dynamics.
• LINLBF: A program for continuation and bifurcation analysis of equilibria up to codimension three.
• On the topology of three-dimensional separations, A guide for classification.
• The construction of cubature formulae using continuation and bifurcation software.
• Determining an Organizing Center for Passive Optical Systems.
• Optimization by continuation.
• Stability of Marangoni convection in a microgravity environment.
• Computing with reaction-diffusion systems: applications in image processing.
• Bifurcation of Codimension 2 for a discrete map.
• Bifurcation of periodic solutions in PDE’s: Numerical techniquesand applications (abstract).
• Bifurcation and chaos in Chua’s circuit family (abstract).
• Continuation and collocation for parameter dependent boundary value problems (abstract).
• Porous medium combustion (abstract).
• Block elimination and the computation of simple turning points (abstract).
• Bifurcation into gaps in the essential spectrum (abstract).
• Application of numerical continuation in aerospace problems (abstract).
• Application of a reduced basis method in structural analysis (abstract).
• Some applications of bifurcation theory in engineering (abstract).
• Higher order predictors in numerical path following schemes (abstract).