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Wang, Xiaoying; Jiang, Fei; Yin, Junping

Existence and uniqueness of the solution of Lorentz-Rössler systems with random perturbations. (English) Zbl 1383.34080

Abstr. Appl. Anal. 2013, Article ID 480259, 14 p. (2013).
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.

MSC:

34F05 Ordinary differential equations and systems with randomness
34H10 Chaos control for problems involving ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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