Nonlocal feedback in nonlinear systems

Details Nonlocal feedback in nonlinear systems Nonlocal feedback in nonlinear systems

2010-03-08

arxiv.org/abs/1003.1694v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, to be published in EPJD

Scientific paper

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.

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