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Fixed Points and Attractors for Random Dynamical Systems

Application to stochastic bifurcation theory

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IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 47))

Abstract

We have been pursuing for quite some time the study of systems under randomness within the framework of dynamical systems (i.e. flows of mappings on some state space). For a non-technical introduction and a survey of results see Arnold [2].

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References

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© 1996 Kluwer Academic publishers

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Arnold, L., Schmalfuss, B. (1996). Fixed Points and Attractors for Random Dynamical Systems. In: Naess, A., Krenk, S. (eds) IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics. Solid Mechanics and its Applications, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0321-0_3

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  • DOI: https://doi.org/10.1007/978-94-009-0321-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6630-3

  • Online ISBN: 978-94-009-0321-0

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