We present a study of interface dynamics in two spatial dimensions for a
non-relaxational system that describes the temporal evolution of three
competing real fields. This and similar models have been used to get insight
into problems like Rayleigh-B'enard convection in a rotating cell or
population competition dynamics in predator-key systems. A notable feature is
that the non-potential dynamics stops the coarsening process as long as the
system size is large enough. For certain values of the parameters, the system
switches to a chaotic dynamical state known as the Küppers-Lortz (KL)
instability. When isotropic spatial derivatives are used, the intrinsic period
of the KL instability diverges with time. On the contrary, anisotropic
derivatives stabilize the KL period.
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