Existence and uniqueness of the solution of Lorentz-Rössler systems with random perturbations (Q369972)
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scientific article; zbMATH DE number 6209310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of the solution of Lorentz-Rössler systems with random perturbations |
scientific article; zbMATH DE number 6209310 |
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Existence and uniqueness of the solution of Lorentz-Rössler systems with random perturbations (English)
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19 September 2013
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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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