Adaptive control of a seven mode truncation of the Kolmogorov flow with drag

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Abstract

We study a seven dimensional nonlinear dynamical system obtained by a truncation of the Navier–Stokes equations for a two dimensional incompressible fluid with the addition of a linear term modelling the drag friction.We show the bifurcation sequence leading from laminar steady states to chaotic solutions with increasing Reynolds number. Finally, we design an adaptive control which drives the state of the system to the equilibrium point representing the stationary solution.
Lingua originaleEnglish
pagine (da-a)47-59
Numero di pagine13
RivistaChaos, Solitons and Fractals
Volume2009
Stato di pubblicazionePublished - 2009

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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