Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations
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-Rö...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/480259 |
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| _version_ | 1832559470661599232 |
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| author | Xiaoying Wang Fei Jiang Junping Yin |
| author_facet | Xiaoying Wang Fei Jiang Junping Yin |
| author_sort | Xiaoying Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1a8254a1dcb2428b8df81f52dcbec250 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1a8254a1dcb2428b8df81f52dcbec2502025-02-03T01:29:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/480259480259Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random PerturbationsXiaoying Wang0Fei Jiang1Junping Yin2School of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, ChinaInstitute of Applied Physics and Computational Mathematics, Beijing 100088, ChinaWe 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.http://dx.doi.org/10.1155/2013/480259 |
| spellingShingle | Xiaoying Wang Fei Jiang Junping Yin Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations Abstract and Applied Analysis |
| title | Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations |
| title_full | Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations |
| title_fullStr | Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations |
| title_full_unstemmed | Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations |
| title_short | Existence and Uniqueness of the Solution of Lorentz-Rössler Systems with Random Perturbations |
| title_sort | existence and uniqueness of the solution of lorentz rossler systems with random perturbations |
| url | http://dx.doi.org/10.1155/2013/480259 |
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