title: Dynamic quasicrystalline patterns: wave-mode-turing-mode resonance with turing-mode self-interaction
abstract: 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.
authors.affiliation: Department of Mathematics, Technion-Israel Institute of Technology, Technion City, 32000 Haifa, Israel.
authors.initials: ZH
authors.lastname: Musslimani
authors.initials: LM
authors.lastname: Pismen