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Period Stabilization in the Busse-Heikes Model of the Kuppers-Lortz Instability

R. Toral·M. San Miguel·R. Gallego
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Abstract

The Busse-Heikes dynamical model is described in terms of relaxational and nonrelaxational 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 Kuppers-Lortz instability in determining an alternating period is discussed.

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R. Toral, M. San Miguel, R. Gallego. 2000-01-24. Period Stabilization in the Busse-Heikes Model of the Kuppers-Lortz Instability. https://doi.org/10.1016/s0378-4371(00)00076-5

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