Periodic orbits near onset of chaos in plane Couette flow
Periodic orbits near onset of chaos in plane Couette flow
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DOI：
10.1063/1.4757227
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发表时间：
2012-12-01
期刊：
影响因子：
2.9
通讯作者：
Eckhardt, Bruno
中科院分区：
文献类型：
--
作者：
Kreilos, Tobias;Eckhardt, Bruno
我们跟踪了平面Couette流中相干态的二次分叉，并表明它们经历了一个周期性的加倍级联，以危机分叉结束。我们引入了一个符号动力学的轨道，并表明，存在的下降到通用序列描述的大都会，斯坦和斯坦的单峰映射。周期轨道覆盖了大部分的湍流动力学，因为它们的时间演化在投影到由能量产生和耗散跨越的平面上时与湍流运动重叠。[http：//dx.doi.org/10.1063/1.4757227]
We track the secondary bifurcations of coherent states in plane Couette flow and show that they undergo a periodic doubling cascade that ends with a crisis bifurcation. We introduce a symbolic dynamics for the orbits and show that the ones that exist fall into the universal sequence described by Metropolis, Stein and Stein for unimodal maps. The periodic orbits cover much of the turbulent dynamics in that their temporal evolution overlaps with turbulent motions when projected onto a plane spanned by energy production and dissipation. [http://dx.doi.org/10.1063/1.4757227]