NONLINEAR DYNAMICS OF THE WAKE OF AN OSCILLATING CYLINDER
NONLINEAR DYNAMICS OF THE WAKE OF AN OSCILLATING CYLINDER
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DOI：
10.1103/physrevlett.60.797
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发表时间：
1988-02-29
影响因子：
8.6
通讯作者：
SREENIVASAN, KR
中科院分区：
文献类型：
--
作者：
OLINGER, DJ;SREENIVASAN, KR
低雷诺数下振荡圆柱的尾迹是一个非线性系统，其中由于自然涡脱落而产生的极限环被调制，在相空间中产生环面上的流动。我们的实验表明，该系统显示Arnol的舌头合理的频率比，并近似魔鬼的楼梯沿着的临界线。“奇异谱”以及伴随准周期向混沌过渡的各种Fibonacci序列处的谱峰表明，该系统与正弦圆映射属于同一普适类。
The wake of an oscillating cylinder at low Reynolds numbers is a nonlinear system in which a limit cycle due to natural vortex shedding is modulated, generating in phase space a flow on a torus. We experimentally show that the system displays Arnol’d tongues for rational frequency ratios, and approximates the devil’s staircase along the critical line. The ‘‘singularity spectrum’’as well as spectral peaks at various Fibonacci sequences accompanying quasiperiodic transition to chaos shows that the system belongs to the same universality class as the sine circle map.