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Numerical continuation methods and bifurcation

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Functional Differential Equations and Approximation of Fixed Points

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 730))

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References

  1. [A1] J. C. Alexander, The topological foundations of an embedding method, in Continuation Methods, H.-J. Wacker, ed. Academic Press (1978), 37–68

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  2. [A2] J. C. Alexander, Bifurcation of zeroes of parameterized functions, J. Func. Anal. 29 (1978), 37–53

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  3. J. C. Alexander and J. A. Yorke, Homotopy continuation Methods: numerically implementable topological procedures, Trans. Am. Math. Soc. 242, (1978), 271–284

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  4. 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

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  5. R. Böhme, Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme, Math. Z. 127 (1972), 105–126.

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  7. A. Marino, La biforcazione nel caso varizionalle, in Proc. Conference del Seminario de Mathematica dell' Universita di Bari, Nov. 1972.

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  8. [P1] M. Prüfer, Calculating global bifurcation, in Continuation Methods, H.-J-Wacker, ed. Academic Press (1978), 187–214

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, Maryland

    J. C. Alexander

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  1. J. C. Alexander
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Heinz-Otto Peitgen Hans-Otto Walther

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09518-7

  • Online ISBN: 978-3-540-35129-0

  • eBook Packages: Springer Book Archive

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