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

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  • Xiaoying Wang
  • Fei Jiang
  • Junping Yin

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:480259
DOI: 10.1155/2013/480259
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