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Hexagonal Standing-Wave Patterns in Periodically Forced Reaction--Diffusion Systems |
| ZHANG Ke;WANG Hong-Li;QIAO Chun;OUYANG Qi |
| School of Physics, and State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871 |
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| Cite this article: |
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ZHANG Ke, WANG Hong-Li, QIAO Chun et al 2006 Chin. Phys. Lett. 23 1414-1417 |
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Abstract The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2:1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.
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| Keywords:
05.45.Xt
82.40.Ck
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Published: 01 June 2006
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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