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

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

2000-01-24

arxiv.org/abs/nlin/0001049v1

Nonlinear Sciences

Pattern Formation and Solitons

28 pages, 11 figures

Scientific paper

10.1016/S0378-4371(00)00076-5

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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