约瑟夫森结阵列的全局变量同步
Synchronization of a Josephson junction array in terms of global variables
摘要：
我们考虑一个约瑟夫森结阵列与一个共同的LCR负载。Watanabe-Strogatz方法[Physica D，v. 74，p. 197（1994）]的应用允许我们仅通过全局变量来制定阵列的动力学。对于相同的路口，这是一个有限的方程组，分析揭示了同步和异步状态的双稳态区域。对于结点参数为分布的无序阵列，将问题表示为全局变量的积分-微分方程，数值分析了异步态的稳定性和跃迁同步性。
英文摘要：
We consider an array of Josephson junctions with a common LCR-load. Application of the Watanabe-Strogatz approach [Physica D, v. 74, p. 197 (1994)] allows us to formulate the dynamics of the array via the global variables only. For identical junctions this is a finite set of equations, analysis of which reveals the regions of bistability of the synchronous and asynchronous states. For disordered arrays with distributed parameters of the junctions, the problem is formulated as an integro-differential equation for the global variables, here stability of the asynchronous states and the properties of the transition synchrony-asynchrony are established numerically.
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