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Proceedings of the Third German-Italian Symposium Applications of Mathematics in Industry and Technology pp 248–258Cite as

Towards a Theory of Nonlinear Stochastic Systems

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Summary

We describe certain concepts related to the multiplicative ergodic theorem which enable us to develop a genuine theory of nonlinear stochastic systems, in particular a stochastic bifurcation theory.

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References

  1. Arnold, L.: Lyapunov exponents of nonlinear stochastic systems. In: Ziegler, F.; Schueller, G.I. (eds.): Nonlinear stochastic dynamic engineering systems. IUTAM Symposium Innsbruck 1987, Springer 1988, 181–201

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  2. Arnold, L.; Boxier, P.: Eigenvalues, bifurcation and center manifolds in the presence of noise. In: Dafermos, C.; Ladas, G. (eds.): Proceedings of EQUADIFF 87, M. Dekker, New York 1988

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Author information

Authors and Affiliations

  1. Institut für Dynamische Systeme, Universität Bremen, D-2800, Bremen 33, Fed. Rep. of Germany

    Ludwig Arnold

Authors
  1. Ludwig Arnold
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Editor information

Editors and Affiliations

  1. University of Bologna, Bologna, Italy

    Vinicio Boffi

  2. University of Kaiserslautern, Kaiserslautern, W.-Germany

    Helmut Neunzert

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© 1989 B. G. Teubner Stuttgart

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Arnold, L. (1989). Towards a Theory of Nonlinear Stochastic Systems. In: Boffi, V., Neunzert, H. (eds) Proceedings of the Third German-Italian Symposium Applications of Mathematics in Industry and Technology. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96692-6_17

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  • DOI: https://doi.org/10.1007/978-3-322-96692-6_17

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-02628-0

  • Online ISBN: 978-3-322-96692-6

  • eBook Packages: Springer Book Archive

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