Period Stabilization in the Busse-Heikes Model of the Kuppers-Lortz Instability
arXiv:nlin/0001049 · doi:10.1016/S0378-4371(00)00076-5
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.
28 pages, 11 figures