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Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations

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  • Xiaoying Wang
  • Fei Jiang
  • Junping Yin

Abstract

We consider a new chaotic system based on merging two well-known systems (the Lorentz and Rössler systems). Meanwhile, taking into account the effect of environmental noise, we incorporate whit-enoise in each equation. We prove the existence, uniqueness, and the moments estimations of the Lorentz-Rössler systems. Numerical experiments show the applications of our systems and illustrate the results.

Suggested Citation

  • Xiaoying Wang & Fei Jiang & Junping Yin, 2013. "Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, April.
    • Handle: RePEc:hin:jnlaaa:480259
    DOI: 10.1155/2013/480259
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