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arXiv 1806.01653nlin.AOnlin.CD
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环境诱导振荡死态对称性破缺

Environment induced Symmetry Breaking of the Oscillation-Death State

Sudhanshu Shekhar Chaurasia, Manish Yadav, Sudeshna Sinha

摘要:

我们调查的影响,一个共同的外部系统,我们称之为一个共同的环境,上的振荡器死亡(OD)状态的一组Stuart-Landau振荡器。这组振子在与外部系统解耦时产生完全对称的OD态,即两个OD态以相等的概率出现。然而,值得注意的是,当耦合到一个共同的外部系统时,这种对称性明显被打破。对于指数衰减的外部系统,对称性破缺是非常明显的低环境阻尼和强干扰环境耦合。这是显而易见的,通过从对称到不对称的状态发生在一个关键的制冷剂环境耦合强度和环境阻尼率的急剧转变。此外,我们考虑时变连接到共同的外部环境,与一小部分的干扰器环境的链接开关。有趣的是,我们发现由环境耦合引起的不对称性随着这种开关连接的分数的增加而呈幂律减小。这表明闪烁的干扰器-环境链接可以恢复OD状态的对称性。最后,我们证明了我们的结果为一个恒定的外部驱动的一般性,并发现显着的对称性破缺的OD状态以及。当恒定环境驱动力较大时,OD态的非对称性很大,并且随着驱动力-环境耦合的增加,对称态和非对称态之间的转变非常剧烈。因此,我们的研究结果表明,环境耦合诱导机制的某些OD状态的流行在一个系统的振荡器,并提出了一个潜在的过程,获得某些国家优先在合奏的振荡器与环境介导的耦合。

英文摘要:

We investigate the impact of a common external system, which we call a common environment, on the Oscillator Death (OD) states of a group of Stuart-Landau oscillators. The group of oscillators yield a completely symmetric OD state when uncoupled to the external system, i.e. the two OD states occur with equal probability. However, remarkably, when coupled to a common external system this symmetry is significantly broken. For exponentially decaying external systems, the symmetry breaking is very pronounced for low environmental damping and strong oscillator-environment coupling. This is evident through the sharp transition from the symmetric to asymmetric state occurring at a critical oscillator-environment coupling strength and environmental damping rate. Further, we consider time-varying connections to the common external environment, with a fraction of oscillator-environment links switching on and off. Interestingly, we find that the asymmetry induced by environmental coupling decreases as a power law with increase in fraction of such on-off connections. The suggests that blinking oscillator-environment links can restore the symmetry of the OD state. Lastly, we demonstrate the generality of our results for a constant external drive, and find marked breaking of symmetry in the OD states there as well. When the constant environmental drive is large, the asymmetry in the OD states is very large, and the transition between the symmetric and asymmetric state with increasing oscillator-environment coupling is very sharp. So our results demonstrate an environmental coupling-induced mechanism for the prevalence of certain OD states in a system of oscillators, and suggests an underlying process for obtaining certain states preferentially in ensembles of oscillators with environment-mediated coupling.

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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