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Dynamic quasicrystalline patterns: Wave-mode–Turing-mode resonance with Turing-mode self-interaction
2000
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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We study perturbatively the effect of resonant Turing-mode interactions on the slow time evolution of quasicrystalline patterns sustained by resonant interaction between wave and static composite modes. We find that stabilization of quasicrystalline patterns by quadratic wave-mode-Turing-mode interactions is possible even under the action of weak destabilizing Turing-mode self-interactions.
doi:10.1103/physreve.62.389
pmid:11088473
fatcat:ojj7efjq6jhflbxe5ecybczudi