Formation of localized structures in bistable systems through nonlocal spatial coupling

  • IFISC Seminar

  • Pere Colet
  • IFISC
  • Feb. 26, 2014, 2:30 p.m.
  • IFISC Seminar Room
  • Announcement file

The present work studies the influence of nonlocal spatial coupling on the existence of localized structures in 1-dimensional extended systems. We consider systems described by a real field with a nonlocal coupling that has a linear dependence on the field. Leveraging spatial dynamics we provide a general framework to understand the effect of the nonlocality on the shape of the fronts connecting two stable states. In particular we show how three nonlocal kernels, mod-exponential, Gaussian and Mexican-hat kernel (with attractive and repelling regions)
can induce spatial oscillations in the front tails, allowing for the creation of localized structures, emerging from pinning between two fronts.


Contact details:

Manuel Matías

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