Hopf Bifurcation with Broken Reflection Symmetry in Rotating Rayleigh-Bénard Convection
Hopf Bifurcation with Broken Reflection Symmetry in Rotating Rayleigh-Bénard Convection
复制标题
旋转瑞利-贝纳德对流中具有破缺反射对称性的 Hopf 分岔
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
E. Knobloch
中科院分区：
文献类型：
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作者：
R. Ecke;F. Zhong;E. Knobloch
旋转瑞利-B？中方位行波的实验观测用对称分叉理论描述了圆形容器中的Nard对流。的对流状态的幅度变化？？行波频率线性依赖于？开始时具有有限值。在这里吗？= R/Rc - 1，其中Rc是临界瑞利数。频率的起始值随着无因次旋转速率的增大而减小到零？减少到零。这些实验观察结果是一致的存在下，从传导状态的霍普夫分叉时，预计会出现旋转打破反射对称性在垂直平面的非旋转装置。
Experimental observations of azimuthally traveling waves in rotating Rayleigh-B?nard convection in a circular container are presented and described in terms of the theory of bifurcation with symmetry. The amplitude of the convective states varies as ?? and the traveling-wave frequency depends linearly on ? with a finite value at onset. Here ? = R/Rc - 1, where Rc is the critical Rayleigh number. The onset value of the frequency decreases to zero as the dimensionless rotation rate ? decreases to zero. These experimental observations are consistent with the presence of a Hopf bifurcation from the conduction state expected to arise when rotation breaks the reflection symmetry in vertical planes of the nonrotating apparatus.