Synchronization of uncoupled oscillators by common gamma impulses: From phase locking to noise-induced synchronization.
Synchronization of uncoupled oscillators by common gamma impulses: From phase locking to noise-induced synchronization.
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DOI：
10.1103/physreve.82.036206
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发表时间：
2010-08
期刊：
影响因子：
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通讯作者：
S. Hata;T. Shimokawa;Kensuke Arai;H. Nakao
中科院分区：
文献类型：
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作者：
S. Hata;T. Shimokawa;Kensuke Arai;H. Nakao
非线性振荡器在共同的外部脉冲驱动下可以相互同步。两个重要的场景是(i)由每个振荡器锁相到规则周期脉冲引起的同步和（ii）由泊松随机脉冲引起的噪声诱导同步，但它们的差异尚未完全量化。在这里，我们分析了具有伽马分布间隔的普通随机脉冲下的一对解耦振子，它们可以平滑地插值到正则周期泊松脉冲和随机泊松脉冲之间。通过相位分布、频率失谐、李雅普诺夫指数和信息论测度，可以清楚地揭示两种同步方案之间的差异。
Nonlinear oscillators can mutually synchronize when they are driven by common external impulses. Two important scenarios are (i) synchronization resulting from phase locking of each oscillator to regular periodic impulses and (ii) noise-induced synchronization caused by the Poisson random impulses, but their difference has not been fully quantified. Here, we analyze a pair of uncoupled oscillators subject to common random impulses with gamma-distributed intervals, which can be smoothly interpolated between the regular periodic and the random Poisson impulses. Their dynamics are characterized by phase distributions, frequency detuning, Lyapunov exponents, and information-theoretic measures, which clearly reveal the differences between the two synchronization scenarios.