Chronotaxic Systems: A New Class of Self-Sustained Nonautonomous Oscillators

Chronotaxic Systems: A New Class of Self-Sustained Nonautonomous Oscillators
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DOI:
10.1103/physrevlett.111.024101
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发表时间:
2013-07-08
影响因子:
8.6
通讯作者:
Stefanovska, Aneta
Stefanovska, Aneta
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Suprunenko, Yevhen F.;Clemson, Philip T.;Stefanovska, Aneta

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具有稳定幅度和时变频率的非自治振荡系统通常被视为随机的,不恰当的。因此,我们将它们定义为一个新类,并讨论它们如何生成复杂的行为。我们展示了如何提取潜在的动力学,并证明了它是简单和确定性的,从而为各种新系统被识别为确定性铺平了道路。它们包括自然界中复杂的和非自治的振荡系统,既有单独的,也有集合和网络的。
Nonautonomous oscillatory systems with stable amplitudes and time-varying frequencies have often been treated as stochastic, inappropriately. We therefore formulate them as a new class and discuss how they generate complex behavior. We show how to extract the underlying dynamics, and we demonstrate that it is simple and deterministic, thus paving the way for a diversity of new systems to be recognized as deterministic. They include complex and nonautonomous oscillatory systems in nature, both individually and in ensembles and networks.