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

Xiaoying Wang, Fei Jiang and Junping Yin

Abstract and Applied Analysis, 2013, vol. 2013, 1-14

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:480259

DOI: 10.1155/2013/480259

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