Emerging coherence in a population of chemical oscillators

Emerging coherence in a population of chemical oscillators
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DOI:
10.1126/science.1070757
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发表时间:
2002-05-31
期刊:
影响因子:
56.9
通讯作者:
Hudson, JL
Hudson, JL
中科院分区:
综合性期刊1区
文献类型:
--
作者:
Kiss, IZ;Zhai, YM;Hudson, JL

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相互作用的振荡实体的相干性在生物、化学和物理系统中具有重要意义。我们报告了化学振子种群的实验,并验证了Kuramoto 25年的理论,该理论预测了一组不同频率的光滑极限环振子中的全局耦合会产生一些元素同步的相变。在实验中得到了临界点和预测阶数对耦合的依赖关系。我们将研究扩展到松弛和混沌振子,并描述了系统类型之间的定量相似性和差异性。
Coherence of interacting oscillating entities has importance in biological, chemical, and physical systems. We report experiments on populations of chemical oscillators and verify a 25-year-old theory of Kuramoto that predicts that global coupling in a set of smooth limit-cycle oscillators with different frequencies produces a phase transition in which some of the elements synchronize. Both the critical point and the predicted dependence of order on coupling are seen in the experiments. We extend the studies both to relaxation and to chaotic oscillators and characterize the quantitative similarities and differences among the types of systems.