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

Xiaoying Wang | Zendy; Fei Jiang | Zendy; Junping Yin | Zendy

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

Author(s) -

Xiaoying Wang,

Fei Jiang,

Junping Yin

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/480259

Subject(s) - uniqueness , lorentz transformation , mathematics , chaotic , noise (video) , statistical physics , mathematical analysis , computer science , classical mechanics , physics , artificial intelligence , image (mathematics)

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

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