非高斯Levy噪声驱动下耗散动力系统的同步
Synchronization of dissipative dynamical systems driven by non-Gaussian Levy noises
摘要：
高斯噪声驱动的动力系统在建模、仿真和理论研究中得到了广泛的研究。然而，工程和科学中的复杂系统往往受到非高斯波动或不确定性的影响。研究了非高斯Levy噪声下的耦合动力系统.在讨论了系统的上循环性质、平稳轨道和随机吸引子之后，证明了当耦合系统的漂移项满足一定的耗散性和可积性条件时，系统将出现同步现象.同步结果表明，耦合动力系统在某种渐近意义下具有相同的动力学特征.
英文摘要：
Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties. A coupled dynamical system under non- Gaussian Levy noises is considered. After discussing cocycle prop- erty, stationary orbits and random attractors, a synchronization phe- nomenon is shown to occur, when the drift terms of the coupled system satisfy certain dissipativity and integrability conditions. The synchro- nization result implies that coupled dynamical systems share a dy- namical feature in some asymptotic sense.
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