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Manipulation, stabilization, and control of pattern formation using fourier space filtering

Physical Review Letters, ISSN: 1079-7114, Vol: 81, Issue: 8, Page: 1614-1617
1998
  • 78
    Citations
  • 0
    Usage
  • 10
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    78
    • Citation Indexes
      78
  • Captures
    10

Article Description

We present an experimental realization of an almost noninvasive stabilization and manipulation method of coexisting and underlying states of pattern forming systems. In a photorefractive single feedback system, a ring control path is used to realize amplitude and phase-sensitive Fourier-plane filtering, utilizing only a few percent of the system's intensity. We were able to stabilize desired but not predominantly excited patterns in parameter space regions where several patterns are present as underlying solutions. By positive (in-phase) and negative (out-of-phase) control, rolls could be excited in parameter regions where hexagonal structures are preferably stable. © 1998 The American Physical Society.

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