Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
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Inhaltsangabe
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 techniques and 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).
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).
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 techniques and 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).
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).
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