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Random Dynamical Systems

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Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 85))

Abstract

Random dynamical systems and random attractors are introduced through examples. The special case of contractive cocycle mappings is considered for latter use.

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Notes

  1. 1.

    The concept is useful in higher dimensions and is needed later, so the general scalar product \(\left\langle \cdot , \cdot \right\rangle \) on \(\mathbb {R}^d\) is used here.

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Correspondence to Xiaoying Han .

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© 2017 Springer Nature Singapore Pte Ltd.

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Han, X., Kloeden, P.E. (2017). Random Dynamical Systems. In: Random Ordinary Differential Equations and Their Numerical Solution. Probability Theory and Stochastic Modelling, vol 85. Springer, Singapore. https://doi.org/10.1007/978-981-10-6265-0_4

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