耦合非线性振子系统中的离散涡：电模型的数值结果
Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model
摘要：
本文研究了由弱连接连接成拓扑非平凡二维离散流形的非线性振子阵列上的涡相干结构。由相对较弱的电容耦合的非线性电振荡器的电路被认为是这样的对象的可能的物理实现。数值实验表明，在准定常背景下，在较宽的参数范围内，对多个振子施加时间单色的外力，会导致系统中形成长寿命的、非平凡的相互作用的涡旋。涡旋的动力学依赖于通过链接将矩形阵列的相对侧"耦合"的方法，该方法确定了所得到的流形的拓扑结构（环面、克莱因瓶、投影平面、莫比乌斯带、环或盘）。
英文摘要：
Vortex coherent structures on arrays of nonlinear oscillators joined by weak links into topologically nontrivial two-dimensional discrete manifolds have been theoretically studied. A circuit of nonlinear electric oscillators coupled by relatively weak capacitances has been considered as a possible physical implementation of such objects. Numerical experiments have shown that a time-monochromatic external force applied to several oscillators leads to the formation of long-lived and nontrivially interacting vortices in the system against a quasistationary background in a wide range of parameters. The dynamics of vortices depends on the method of "coupling" of the opposite sides of a rectangular array by links, which determines the topology of the resulting manifold (torus, Klein bottle, projective plane, Möbius strip, ring, or disk).
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