Volume 83, Number 1, July 2008
|Number of page(s)||5|
|Published online||16 June 2008|
Wave-number locking in spatially forced pattern-forming systems
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: email@example.com
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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