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Simple three oscillator universal probes for determining synchronization stability in coupled arrays of oscillators

机译:简单的三个振荡器通用探头,用于确定振荡器耦合阵列中的同步稳定性

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K.S. Fink et al. (2000) described how a coupled array of three oscillators can serve as a universal probe of the synchronization properties in general coupled arrays of oscillators. However, the coupling topology in this probe can cause difficulties in experimental implementations. For instance, every oscillator is coupled to every other oscillator resulting in many coupling terms. Furthermore, the variable coupling weights at several coupling terms need to be set equal to each other. This means that some component values need to be varied over a range and be perfectly matched to each other in the experimental setup. We present simpler universal probes by utilizing the minimal number of coupling terms and by minimizing the constraint of having the coupling weights matched.
机译:K.S.芬克(Fink)等人。 (2000)描述了三个振荡器的耦合阵列如何可以用作振荡器的通用耦合阵列中的同步特性的通用探针。但是,此探针中的耦合拓扑可能会在实验实现中引起困难。例如,每个振荡器与每个其他振荡器耦合,导致许多耦合项。此外,需要将多个耦合项的可变耦合权重设置为彼此相等。这意味着某些组件值需要在一定范围内变化,并且在实验设置中必须彼此完全匹配。我们通过利用最少数量的耦合项并通过最小化使耦合权重匹配的约束,来提供更简单的通用探针。

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