Abstract
In spatially extended Turing-unstable systems, parameter variation should, in theory, produce only fully developed patterns. In experiment, however, localized patterns or solitons sitting on a smooth background often appear. Addition of a nonlocal nonlinearity can resolve this discrepancy by tilting the "snaking" bifurcation diagram characteristic of such problems.
Original language | English |
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Pages (from-to) | 104503 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 99 |
Issue number | 10 |
DOIs | |
Publication status | Published - 7 Sept 2007 |
Keywords
- pattern selection
- pattern formation
- optics
- solitons
- bifurcation
- physics