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On Random Dynamical Systems Generated by White Noise Time Change of Deterministic Dynamical Systems

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  • Mohamed Hmissi
  • Farida Mokchaha
  • Xiaofeng Zong

Abstract

In this paper, we apply the random time change by the real white noise to deterministic dynamical systems. We prove that the obtained random dynamical systems are solutions of some stochastic differential equations whenever the deterministic dynamical systems are solutions of ordinary differential equations.

Suggested Citation

  • Mohamed Hmissi & Farida Mokchaha & Xiaofeng Zong, 2022. "On Random Dynamical Systems Generated by White Noise Time Change of Deterministic Dynamical Systems," Journal of Probability and Statistics, Hindawi, vol. 2022, pages 1-7, December.
    • Handle: RePEc:hin:jnljps:3881486
    DOI: 10.1155/2022/3881486
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