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Bifurcation at multiple eigenvalues

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Part of the Lecture Notes in Mathematics book series (LNM,volume 762)

Keywords

  • Tensor Product
  • Implicit Function Theorem
  • Bifurcation Problem
  • Multiple Eigenvalue
  • Finite Dimensional Representation

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References

  1. N. Dunford and J. Schwartz, Linear Operator Theory, Vol.I Interscience, New York.

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  2. L. Graves, "Remarks on singular points of functional equations," Trans. Amer. Math. Soc. 79 (1955), 150–157.

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  3. H. Kielhofer and K. Kirchgassner, "Stability and bifurcation in fluid mechanics," Rocky Mountain Jour. Math. 3 (1973), 275–318.

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  4. D. Sather, "Branching of solutions of nonlinear equations," Rocky Mountain Jour. Math. 3 (1973), 203–250.

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  5. D.H. Sattinger, "Group representation theory and branch points of nonlinear functional equations," SIAM Jour. Math. Anal. 8 (1977), 179–201.

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  6. D. H. Sattinger, "Group representation theory, bifurcation theory, and pattern formation," Jour. Functional Analysis, 77 (1978)

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© 1979 Springer-Verlag

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Sattinger, D.H. (1979). Bifurcation at multiple eigenvalues. In: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087460

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  • DOI: https://doi.org/10.1007/BFb0087460

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09715-0

  • Online ISBN: 978-3-540-38487-8

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