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Stochastic center as a tool in a stochastic bifurcation theory

  • Stability. Lyapunov Exponents and Stochastic Bifurcation
  • Conference paper
  • First Online:
Probabilistic Methods in Applied Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 451))

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References

  1. Abraham, R., Marsden, J. E., Ratiu, T.: Manifolds, tensor analysis and applications. Addison-Wesley Reading, Massachusetts 1983.

    Google Scholar 

  2. Boxler, P.: Lyapunov exponents indicate stability and detect stochastic bifurcations. This volume.

    Google Scholar 

  3. Boxler, P.: Stochastische Zentrumsmannigfaltigkeiten. Ph. D. thesis, Institut für Dynamische Systeme, Universität Bremen 1988. (Condensed English version of

    Google Scholar 

  4. Dieudonné: Foundations of modern analysis. Academic Press, New York, London 1969.

    Google Scholar 

  5. Federer, H.: Geometric measure theory. Springer, Berlin, Heidelberg, New York 1969.

    Google Scholar 

  6. Guckenheimer, J., Holmes, Ph.: Nonlinearoscillations, dynamical systems and bifurcations of vector fields. Springer, Berlin, Heidelberg, New York, Tokyo, 2nd ed. 1986.

    Google Scholar 

  7. Kantorowitsch, L. W., Akilow, G. P.: Funktionalanalysis in normierten Riiumen. Harri Deutsch, Thun, Frankfurt 1964.

    Google Scholar 

  8. nobloch, E., Wiesenfeld, K. A.: Bifurcations in fluctuating systems: The center manifold approach. J. Stat. Phys., Vol. 33, no. 3 (1983), 611–637.

    Google Scholar 

  9. Vanderbauwhede, A.: Center manifolds, normal forms and elementary bifurcations. In: U. Kirchgraber, H. O. Walther (ededs.): Dynamics Reported, Vol. 2, Teubner and Wiley 1989, 89–169.

    Google Scholar 

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Authors
  1. Petra Boxier
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Paul Krée Walter Wedig

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© 1995 Springer-Verlag

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Boxier, P. (1995). Stochastic center as a tool in a stochastic bifurcation theory. In: Krée, P., Wedig, W. (eds) Probabilistic Methods in Applied Physics. Lecture Notes in Physics, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60214-3_54

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  • DOI: https://doi.org/10.1007/3-540-60214-3_54

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60214-9

  • Online ISBN: 978-3-540-44725-2

  • eBook Packages: Springer Book Archive

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