Integrable and chaotic motions of four vortices
暂无分享,去创建一个
Abstract Conclusive numerical evidence of chaos in the four-vortex problem is presented using the method of Poincare sections. The problem is formally reduced to a two degrees of freedom hamiltonian. The advection of a passive marker by three vortices displays chaos.
[1] V. I. Arnolʹd,et al. Ergodic problems of classical mechanics , 1968 .
[2] Hassan Aref,et al. Motion of three vortices , 1979 .
[3] George Keith Batchelor,et al. An Introduction to Fluid Dynamics. , 1969 .
[4] J. W. Humberston. Classical mechanics , 1980, Nature.