288 citations · 1.1k across the 43 of their papers we have counts for
Showing 2002 · nlin.PSShow all
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nlin.PS2002★ 5 cited
Spectral theory for the failure of linear control in a nonlinear stochastic system
Roman O. Grigoriev, Andreas Handel
We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result o…
nlin.PS2002★ 6 cited
Nonnormality and the localized control of extended systems
Roman O. Grigoriev, Andreas Handel
The idea of controlling the dynamics of spatially extended systems using a small number of localized perturbations is very appealing - such a setup is easy to implement in practice…
nlin.PS2002★ 33 cited
Contact Line Instability and Pattern Selection in Thermally Driven Liquid Films
Roman O. Grigoriev
Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven s…