| Issue |
EPL
Volume 83, Number 1, July 2008
|
|
|---|---|---|
| Article Number | 10005 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/83/10005 | |
| Published online | 16 June 2008 | |
Wave-number locking in spatially forced pattern-forming systems
1
Physics Department, Ben-Gurion University - Beer-Sheva 84105, Israel
2
Mathematical Modeling and Analysis, Theoretical Division, Los Alamos National Laboratory Los Alamos, NM 87545, USA
3
Department of Solar Energy and Environmental Physics, BIDR, Ben Gurion University Sede Boker Campus 84990, Israel
Corresponding author: hagberg@lanl.gov
Received:
28
February
2008
Accepted:
19
May
2008
We use the Swift-Hohenberg model and normal-form equations to study wave-number locking in two-dimensional systems as a result of one-dimensional spatially periodic weak forcing. The freedom of the system to respond in a direction transverse to the forcing leads to wave-number locking in a wide range of forcing wave-numbers, even for weak forcing, unlike the locking in a set of narrow Arnold tongues in one-dimensional systems. Multi-stability ranges of stripe, rectangular, and oblique patterns produce a variety of resonant patterns. The results shed new light on rehabilitation practices of banded vegetation in drylands.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Xt – Synchronization; coupled oscillators / 47.54.-r – Pattern selection; pattern formation
© EPLA, 2008
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