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A global feedback control of a system that exhibits a subcritical monotonic instability
at a non-zero wavenumber (short-wave, or Turing instability) in the presence of a zero
mode is investigated using a Ginzburg-Landau equation coupled to an equation for the zero
mode. The method based on a variational principle is applied for the derivation of a
low-dimensional evolution model. In the framework of this model the investigation of the
system’s dynamics...
The influence of a global delayed feedback control which acts on a system governed by a
subcritical complex Ginzburg-Landau equation is considered. The method based on a
variational principle is applied for the derivation of low-dimensional evolution models.
In the framework of those models, one-pulse and two-pulse solutions are found, and their
linear stability analysis is carried out. The application of the finite-dimensional model
allows to reveal...
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