Synchronization rates in classes of relaxation oscillators
Synchronization rates in classes of relaxation oscillators
复制标题
张弛振荡器类别的同步率
DOI：
10.1109/tnn.2004.833134
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发表时间：
2004
影响因子：
--
通讯作者：
C. Jayaprakash
中科院分区：
文献类型：
--
作者：
S. Campbell;Deliang Wang;C. Jayaprakash
弛豫振子在物理学、电子学、数学和生物学中经常出现。他们的数学定义具有高度的灵活性，通过适当的参数选择，可以使弛豫振子表现出本质上不同类型的振荡。我们通过一维链中Heaviside阶跃函数相互作用的同步率，数值研究了四类不同的弛豫振子，得到了以下结果。在正弦和弛豫区的弛豫振荡器都表现出平均同步时间/spl sim/n，其中n是链长。奇异极限中的弛豫振子表现为/spl sim/n/sup p/，其中p是数值获得的小于0.5的值。奇异极限下的弛豫振子在链中表现为/Spl sim/log(N)，在长度为L的二维正方形网络中表现为/Spl sim/log(L)。最后，对于正弦和弛豫区的弛豫振子，采用Sigmoid相互作用得到/Spl sim/n/sup 2/，表明耦合形式是同步速率的控制因素。
Relaxation oscillators arise frequently in physics, electronics, mathematics, and biology. Their mathematical definitions possess a high degree of flexibility in the sense that through appropriate parameter choices relaxation oscillators can be made to exhibit qualitatively different kinds of oscillations. We study numerically four different classes of relaxation oscillators through their synchronization rates in one-dimensional chains with a Heaviside step function interaction and obtain the following results. Relaxation oscillators in the sinusoidal and relaxation regime both exhibit an average time to synchrony, /spl sim/n, where n is the chain length. Relaxation oscillators in the singular limit exhibit /spl sim/n/sup p/, where p is a numerically obtained value less than 0.5. Relaxation oscillators in the singular limit with parameters modified so that they resemble spike oscillations exhibit /spl sim/log(n) in chains and /spl sim/log(L) in two-dimensional square networks of length L. Finally, using a sigmoid interaction results in /spl sim/n/sup 2/, for relaxation oscillators in the sinusoidal and relaxation regimes, indicating that the form of the coupling is a controlling factor in the synchronization rate.
影响因子：
5.5
作者：
HODGKIN, AL;HUXLEY, AF
通讯作者：
HUXLEY, AF