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Noise-Dependent Stability of the Synchronized State in a Coupled System of Active Rotators

机译:主动转子耦合系统中同步状态的噪声相关稳定性

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We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The synchronized state of the system is most stable for intermediate noise intensity in the sense that the coupling strength required to desynchronize the system is maximal at this noise level. We evaluate the phase boundary between synchronized and desynchronized states through numerical and analytical calculations.
机译:我们考虑一个由两个耦合的主动转子组成的可激励系统动力学的仓本模型。取决于耦合强度和噪声,两个旋转器可以处于同步或去同步状态。系统的同步状态对于中等噪声强度最为稳定,因为在该噪声水平下,使系统不同步所需的耦合强度最大。我们通过数值和解析计算来评估同步状态和非同步状态之间的相位边界。

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