Existence of quasipatterns in the superposition of two hexagonal periodic patterns
Event details
| Date | 05.04.2019 |
| Hour | 14:15 › 15:15 |
| Speaker | Prof. Gérard IOOSS (Prof. IUF émérite, LJAD, Nice) |
| Location | |
| Category | Conferences - Seminars |
Abstract:
Let us consider a quasilattice, spanned by the superposition of two hexagonal lattices in the plane, differing by a rotation of angle ß. We study bifurcating quasipattern solutions of the Swift-Hohenberg PDE, built on such a quasilattice, invariant under rotations of angle π /3. For nearly all ß, this is a small divisor problem. We prove that in addition to the classical hexagonal patterns, there exist two branches of bifurcating quasipatterns, with equal amplitudes on each basic lattice.
Practical information
- General public
- Free
Organizer
- B. Buffoni
Contact
- B. Buffoni