Aging transition and universal scaling in oscillator networks

Aging transition and universal scaling in oscillator networks
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DOI:
10.1103/physrevlett.93.104101
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发表时间:
2004-09-03
影响因子:
8.6
通讯作者:
Nakanishi, K
Nakanishi, K
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Daido, H;Nakanishi, K

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自持振荡器可能会由于某种退化而变成非自振荡,为了简单起见,我们称之为老化。我们讨论了老化对全局和扩散耦合振子的行为的影响,这些振子要么是周期的,要么是混沌的。结果表明,在一定程度的老化,宏观振荡停止的方式取决于耦合强度。一个通用的尺度函数来描述它的解析推导和数值验证。
Self-sustained oscillators may turn non-self-oscillatory as a result of some kind of deterioration, which we call aging for simplicity. We discuss the effect of aging on the behavior of globally and diffusively coupled oscillators which are either all periodic or chaotic. It is shown that at a certain level of aging, macroscopic oscillation stops in a way which depends on the coupling strength. A universal scaling function to describe it is analytically derived and numerically verified.