H. B. Keller, Numerical methods in bifurcation problems, Tata Institute of Fundamental Research, Bombay, India, 1987. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Differential Algebraic Equations - A New Look at the Index - Le Vey (1994) (5 citations) (Correct)
....systems with constraints (semi explicit systems, a particular case of DAE in the usual sense) may give rise to discontinuous solutions : 21] e.g. studies such systems in the context of bifurcation theory of dynamical systems, that is from a qualitative point of view. In this last context, [8] studies numerical methods for bifurcation problems near singular points, mainly path following methods. 20] studies continuation methods too for DAE s and consider these as differential equations on manifolds, for existence and uniqueness of solutions purposes, that is from a functional ....
B.H. Keller. Numerical methods in bifurcation problems. Tata institute of fundamental research, 1987.
Differential Algebraic Equations - A New Look at the Index - Le Vey (1994) (5 citations) (Correct)
....systems with constraints (semi explicit systems, a particular case of DAE in the usual sense) may give rise to discontinuous solutions : 21] e.g. studies such systems in the context of bifurcation theory of dynamical systems, that is from a qualitative point of view. In this last context, [8] studies numerical methods for bifurcation problems near singular points, mainly path following methods. 20] studies continuation methods too for DAE s and consider these as differential equations on manifolds, for existence and uniqueness of solutions purposes, that is from a functional ....
B.H. Keller. Numerical methods in bifurcation problems. Tata institute of fundamental research, 1987. RR n2239 20 G. Le Vey
Detection Of Generic One Parameter Bifurcations Of Hamiltonian.. - Eirola (1997) (Correct)
....occur. That is, to compute the sets of parameter values for which some degeneracy occurs. Usually this is achieved via one dimensional continuation (of e.g. equilibria) in the state and parameter space monitoring sign changes of certain test functions one for each type of bifurcation (see [5] [10], 11] When a bifurcation point is found then a branch of such bifurcation points can be computed by adding the equation that the test function being zero and with continuation in a two dimensional set of parameters. This approach needs smooth test functions that, at least generically, change ....
....eigenvalues which become smooth and serve the purposes of the bifurcation analysis. Here, however, we look for other possibilities. The aim of the present study is to find test functions to detect situations 1) and 2) above. Many of the techniques here have origin in the works [5] 7] 8] and [10], where test functions for general folds and Hopf bifurcations are considered. The generic behaviour of standard test functions in the case of Hamiltonian systems is not yet clear. It is shown that the test functions for folds (saddle node bifurcations) work also for Hamiltonian systems even ....
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H. Keller. Numerical Methods in Bifurcation Problems. Springer Verlag, Bombay, 1987. Tata Institute of Fundamental Research.
Wavy Taylor Vortices in Plane Couette Flow - Conley, Keller (1995) (1 citation) Self-citation (Keller) (Correct)
....bifurcating from the vortex solution look like wavy Taylor vortices in Taylor Couette flow. The tumbling rate, Omega ; can be decreased to zero while retaining the three dimensional structure of the solutions. The use of Chebyshev polynomials and the path following techniques of H. B. Keller [2] provide better resolved solutions and make it possible to find the minimum Reynolds number at which these solutions exist. This minimumReynolds number (Re = 470) is about one third the Reynolds number at which the flow experimentally sustains turbulence. Linear stability analysis of this flow ....
H. B. Keller, Numerical Methods in Bifurcation Problems, Springer-Verlag, 1987.
Adaptive Multilevel Finite Element Solution of the.. - Holst, Baker, Wang (2000) (Correct)
No context found.
H. B. Keller, Numerical methods in bifurcation problems, Tata Institute of Fundamental Research, Bombay, India, 1987.
Applications of Domain Decomposition and Partition of Unity.. - Holst (Correct)
No context found.
H. B. Keller. Numerical Methods in Bifurcation Problems. Tata Institute of Fundamental Research, 1987.
Applications of Domain Decomposition and Partition of Unity.. - Holst (2003) (Correct)
No context found.
H. B. Keller. Numerical Methods in Bifurcation Problems. Tata Institute of Fundamental Research, 1987.
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