Keywords
- Wave Front
- Bifurcation Point
- Continuation Method
- Morse Function
- Bifurcation Problem
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References
[A1] J. C. Alexander, The topological foundations of an embedding method, in Continuation Methods, H.-J. Wacker, ed. Academic Press (1978), 37–68
[A2] J. C. Alexander, Bifurcation of zeroes of parameterized functions, J. Func. Anal. 29 (1978), 37–53
J. C. Alexander and J. A. Yorke, Homotopy continuation Methods: numerically implementable topological procedures, Trans. Am. Math. Soc. 242, (1978), 271–284
E. L. Allgower and K. Georg, Simplicial and continuation methods for approximating fixed points and solutions to systems of equations, to appear in SIAM Review
R. Böhme, Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme, Math. Z. 127 (1972), 105–126.
E. R. Fadell and P. H. Rabinowitz, Bifurcation for odd potential operators and an alternative topological index, J. Func. Anal. 26 (1977), 48–67.
A. Marino, La biforcazione nel caso varizionalle, in Proc. Conference del Seminario de Mathematica dell' Universita di Bari, Nov. 1972.
[P1] M. Prüfer, Calculating global bifurcation, in Continuation Methods, H.-J-Wacker, ed. Academic Press (1978), 187–214
[P2] M. Prüfer, Sperner simplices and the topological fixed point index, Sonderforschungsbereich 72 Universität Bonn, preprint No 134.
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© 1979 Springer-Verlag
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Alexander, J.C. (1979). Numerical continuation methods and bifurcation. In: Peitgen, HO., Walther, HO. (eds) Functional Differential Equations and Approximation of Fixed Points. Lecture Notes in Mathematics, vol 730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064307
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DOI: https://doi.org/10.1007/BFb0064307
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