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Period stabilization in the Busse–Heikes model of the Küppers–Lortz instability

Author

Listed:
  • Toral, R.
  • Miguel, M.San
  • Gallego, R.

Abstract

The Busse–Heikes dynamical model is described in terms of relaxational and non-relaxational dynamics. Within this dynamical picture a diverging alternating period is calculated in a reduced dynamics given by a time-dependent Hamiltonian with decreasing energy. A mean period is calculated which results from noise stabilization of a mean energy. The consideration of spatial-dependent amplitudes leads to vertex formation. The competition of front motion around the vertices and the Küppers–Lortz instability in determining an alternating period is discussed.

Suggested Citation

  • Toral, R. & Miguel, M.San & Gallego, R., 2000. "Period stabilization in the Busse–Heikes model of the Küppers–Lortz instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(3), pages 315-336.
  • Handle: RePEc:eee:phsmap:v:280:y:2000:i:3:p:315-336
    DOI: 10.1016/S0378-4371(00)00076-5
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    Cited by:

    1. Kanchana, C. & Zhao, Yi & Siddheshwar, P.G., 2020. "Küppers–Lortz instability in rotating Rayleigh–Bénard convection bounded by rigid/free isothermal boundaries," Applied Mathematics and Computation, Elsevier, vol. 385(C).

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