Dynamic quasicrystalline patterns: Wave-mode–Turing-mode resonance with Turing-mode self-interaction

Ziad H. Musslimani, Len M. Pismen
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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