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.
Language | English |
---|---|
Pages | 104503 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 99 |
Issue number | 10 |
DOIs | |
Publication status | Published - 7 Sep 2007 |
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Keywords
- pattern selection
- pattern formation
- optics
- solitons
- bifurcation
- physics
Cite this
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Proposed resolution of theory-experiment discrepancy in homoclinic snaking. / Firth, W.J.; Columbo, L.; Scroggie, A.
In: Physical Review Letters, Vol. 99, No. 10, 07.09.2007, p. 104503.Research output: Contribution to journal › Article
TY - JOUR
T1 - Proposed resolution of theory-experiment discrepancy in homoclinic snaking
AU - Firth, W.J.
AU - Columbo, L.
AU - Scroggie, A.
PY - 2007/9/7
Y1 - 2007/9/7
N2 - 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.
AB - 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.
KW - pattern selection
KW - pattern formation
KW - optics
KW - solitons
KW - bifurcation
KW - physics
U2 - 10.1103/PhysRevLett.99.104503
DO - 10.1103/PhysRevLett.99.104503
M3 - Article
VL - 99
SP - 104503
JO - Physical Review Letters
T2 - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 10
ER -