Nonlocal feedback in nonlinear systems
Pattern Formation and Solitons
2015-05-18 v1 Optics
Abstract
A shifted or misaligned feedback loop gives rise to a two-point nonlocality that is the spatial analog of a temporal delay. Important consequences of this nonlocal coupling have been found both in diffusive and in diffractive systems, and include convective instabilities, independent tuning of phase and group velocities, as well as amplification, chirping and even splitting of localized perturbations. Analytical predictions about these nonlocal systems as well as their spatio-temporal dynamics are discussed in one and two transverse dimensions and in presence of noise.
Cite
@article{arxiv.1003.1694,
title = {Nonlocal feedback in nonlinear systems},
author = {Roberta Zambrini and Francesco Papoff},
journal= {arXiv preprint arXiv:1003.1694},
year = {2015}
}
Comments
13 pages, to be published in EPJD