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We study tilted perfect fluid cosmological models with a constant equation ofstate parameter in spatially homogeneous models of Bianchi type VI_h usingdynamical systems methods and numerical experimentation, with an emphasis ontheir future asymptotic evolution. We determine all of the equilibrium pointsof the type VI_h state space (which correspond to exact self-similar solutionsof the Einstein equations, some of which are new), and their stability isinvestigated. We find that there are vacuum plane-wave solutions that act asfuture attractors. In the parameter space, a `loophole' is shown to exist inwhich there are no stable equilibrium points. We then show that aHopf-bifurcation can occur resulting in a stable closed orbit (which we referto as the Mussel attractor) corresponding to points both inside the loopholeand points just outside the loophole; in the former case the closed curves actas late-time attractors while in the latter case these attracting curves willco-exist with attracting equilibrium points. In the special Bianchi type IIIcase, centre manifold theory is required to determine the future attractors.Comprehensive numerical experiments are carried out to complement and confirmthe analytical results presented. We note that the Bianchi type VI_h case is ofparticular interest in that it contains many different subcases which exhibitmany of the different possible future asymptotic behaviours of Bianchicosmological models.Comment: 35 pages, 14 figures; v2:added more comments and refs, typos  correcte

Late-time behaviour of the tilted Bianchi type VI h models

Late-time behaviour of the tilted Bianchi type VI _h models