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Patterns in reaction-diffusion systems often contain two spatial scales; along scale determined by a typical wavelength or domain size, and a short scalepertaining to front structures separating different domains. Such patternsnaturally develop in bistable and excitable systems, but may also appear farbeyond Hopf and Turing bifurcations. The global behavior of domain patternsstrongly depends on the fronts' inner structures. In this paper we study asymmetry breaking front bifurcation expected to occur in a wide class ofreaction-diffusion systems, and the effects it has on pattern formation andpattern dynamics. We extend previous works on this type of front bifurcationand clarify the relations among them. We show that the appearance of frontmultiplicity beyond the bifurcation point allows the formation of persistentpatterns rather than transient ones. In a different parameter regime, we findthat the front bifurcation outlines a transition from oscillating (orbreathing) patterns to traveling ones. Near a boundary we find that frontsbeyond the bifurcation can reflect, while those below it either bind to theboundary or disappear.Comment: 34 pages TeX, 20 postscript figures (5.6MB uncompressed

Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations