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Bifurcation and Chaos: Analysis, Algorithms, Applications pp 53–57Cite as

On the Primary and Secondary Bifurcation of Equations Involving Scalar Nonlinearities

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Abstract

It is well-known that many problems of quantum mechanics and chemical physics etc. can be described by eigenvalue equations involving scalar nonlinearities of the form

$$g\left\{ {\frac{1}{2}\left\langle {Bu,u} \right\rangle } \right\}Bu = \lambda ,\left( {\lambda ,u} \right) \in R \times X$$
(1)

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References

  1. N.W.Bazley and T. Kuppper, Branches of solutions in nonlinear eigenvalue problems; Appl.of Nonlin. Anal.in Phys.Sci. (H.Amnann, N.Bazley, K. Kirchgassner,eds).,London: Pitman 1981.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Cologne, West Germany

    N. W. Bazley & N. X. Tan

Authors
  1. N. W. Bazley
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  2. N. X. Tan
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Editor information

Editors and Affiliations

  1. Abteilung für Numerik, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Germany

    R. Seydel

  2. Institut für Physikalische Chemie, Universität Würzburg, Marcusstr. 9/11, D-8700, Würzburg, Germany

    F. W. Schneider

  3. Mathematisches Institut, Universität Köln, Weyertal 88, D-5000, Köln, Germany

    T. Küpper

  4. Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    H. Troger

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© 1991 Birkhäuser Verlag Basel

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Bazley, N.W., Tan, N.X. (1991). On the Primary and Secondary Bifurcation of Equations Involving Scalar Nonlinearities. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_5

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  • DOI: https://doi.org/10.1007/978-3-0348-7004-7_5

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7006-1

  • Online ISBN: 978-3-0348-7004-7

  • eBook Packages: Springer Book Archive

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