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arXiv 1302.1344physics.bio-phnlin.CD
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耦合噪声振子的周期变化性

Period Variability of Coupled Noisy Oscillators

Fumito Mori, Hiroshi Kori

摘要:

周期变异性,量化的标准偏差(SD)的周期到周期的周期,研究了嘈杂的相位振荡器。我们将检查点阶段定义为一个振荡周期的开始/结束点,并推导出SD作为此阶段的函数的表达式。我们发现,SD是依赖于检查点相位只有当振荡器耦合。我们的理论的适用性进行了验证,使用一个现实的模型。我们的工作阐明了周期变异性和同步性之间的关系,从中可以推断出有关耦合的有价值的信息。

英文摘要:

Period variability, quantified by the standard deviation (SD) of the cycle-to-cycle period, is investigated for noisy phase oscillators. We define the checkpoint phase as the beginning/end point of one oscillation cycle and derive an expression for the SD as a function of this phase. We find that the SD is dependent on the checkpoint phase only when oscillators are coupled. The applicability of our theory is verified using a realistic model. Our work clarifies the relationship between period variability and synchronization from which valuable information regarding coupling can be inferred.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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