Abstract and Applied Analysis
Volume 2013 (2013), Article ID 480259, 14 pages
http://dx.doi.org/10.1155/2013/480259
Research Article

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

Xiaoying Wang,1,2 Fei Jiang,3 and Junping Yin4

1School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
2Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
3College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
4Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received 24 December 2012; Accepted 26 January 2013

Academic Editor: Jinhu Lü

Copyright © 2013 Xiaoying Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.