Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Chaos in streaming MHD flows

  • 50 Accesses

Abstract

Taking into account the effect of external driving, Kelvin-Helmholtz instability in hydromagnetics is studied to determine a local criterion for the existence of chaotic motion with the use of Melnikov function. Also obtained is the most chaotic frequency.

This is a preview of subscription content, log in to check access.

References

  1. Chandrasekhar, S.: 1961,Hydrodynanic and Hydromagnetic Stability, Oxford.

  2. Drazin, P.G.: 1970,J. Fluid Mech. 42, 321.

  3. Guckenheimer, J. and Holmes, P.: 1983,Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, Springer.

  4. Malik, S.K. and Singh, M., 1985:Astrophysics Space Sci. 109, 231.

  5. Nayfeh, A.H. and Saric, W.S.: 1972,J. Fluid Mech. 55, 311.

  6. Newton. P.K., 1988,Phys. Review 37A, 932.

  7. Weissman, M.A.: 1979,Phil. Trans. Roy. Soc. London. 290, 58.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Malik, S.K., Singh, M. Chaos in streaming MHD flows. Astrophys Space Sci 202, 209–214 (1993). https://doi.org/10.1007/BF00626877

Download citation

Keywords

  • Chaotic Motion
  • Local Criterion
  • External Driving
  • Melnikov Function