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

Authors
Musslimani, ZH Pismen, LM
Citation
Zh. Musslimani et Lm. Pismen, Dynamic quasicrystalline patterns: Wave-mode-Turing-mode resonance with Turing-mode self-interaction, PHYS REV E, 62(1), 2000, pp. 389-396
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
1
Year of publication
2000
Part
A
Pages
389 - 396
Database
ISI
SICI code
1063-651X(200007)62:1<389:DQPWRW>2.0.ZU;2-J
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 stabiliza tion of quasicrystalline patterns by quadratic wave-mode-Turing-mode intera ctions is possible even under the action of weak destabilizing Turing-mode self-interactions.