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Complete Synchronization of Two BidirectionallyCoupled Piecewise Linear Chaotic Systems Perturbed byPoisson Noise

机译:泊松噪声扰动的两个双向耦合分段线性混沌系统的完全同步

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We establish the sufficient conditions of complete synchronization with probability 1 in the coupled bidirectional piecewise linear chaotic systems with common or different Poisson noises and the positive effects of Poisson noises on the complete synchronization will be found based on the proposed theoretical results. We compare the effects of Poisson noise on the complete synchronization with the case of Gaussian white noise, and then we claim Poisson noise can induce complete synchronization easier than Gaussian white noise in the sense of noise strength. Furthermore, a numerical example is presented to show the excellent agreement between theoretical and numerical analysis.
机译:在具有共同或不同泊松噪声的双向双向分段线性混沌系统中,我们建立了概率为1的完全同步的充分条件,并基于所提出的理论结果,发现了泊松噪声对完全同步的积极影响。我们将泊松噪声对完全同步的影响与高斯白噪声的情况进行了比较,然后我们认为,就噪声强度而言,泊松噪声比高斯白噪声更容易诱导完全同步。此外,通过数值例子说明了理论分析与数值分析之间的良好一致性。

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