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.
Coffee and cookies will be served 15 minutes before the start of the seminar
Detalles de contacto:
Manuel Matías Contact form