Wang, Xiaoying; Jiang, Fei; Yin, Junping Existence and uniqueness of the solution of Lorentz-Rössler systems with random perturbations. (English) Zbl 1383.34080 Abstr. Appl. Anal. 2013, Article ID 480259, 14 p. (2013). Summary: 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 white-noise 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. 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