Abstract
The general properties of the spherical vortices (SV) of n-th order are discussed in this paper. Numerical calculations are carried out in the case of n=3. We find out some interesting phenomena concerning the chaotic regions and ordered islands on the Poincaré sections. Interpretations of these phenomena are also given.
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References
Moffatt, H. K., Magnetostatic equilibria and analogous Euler flows of arbitrarily, complex topology, Part 1, Fundamentals,J. F. N.,159 (1985), 359.
She Zhen-su, et al., Vortex dynamics and intermittency in turbulence,Nonlinear World (in two Vols.), Ed. by V. G. Baryakhtar, et al., World Scientific (1990).
Shi Chang-chun, Huang Yong-nian, Zhu Zhao-xuan, Su Wei-dong and Dong Yu-fei, Chaotic phenomena produced by the spherical vortices in the Beltrami flows,Chinese Physics Letters,9, 10 (1992), 515.
Shi Chang-chun and Huang Yong-nian, Some properties of three-dimensional Beltrami flows,Acta Mechanica Sinica,7, 4 (1991), 289.
Shi Chang-chun, Huang Yong-nian and Chen Yao-song, On the Beltrami flows,Acta Mechanica Sinica,8, 4 (1992), 289.
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Communicated by Zhu Zhao-xuan
Project supported by the National Basic Research (Nonlinear Science) Foundation of China
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Chang-chun, S., Yong-nian, H., Yi, Y. et al. The general properties of the spherical vortices (SV) ofn-TH order and the chaotic phenomena and of the ordered structures of the SV of 3RD order. Appl Math Mech 15, 353–358 (1994). https://doi.org/10.1007/BF02463713
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DOI: https://doi.org/10.1007/BF02463713