Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems.

نویسندگان

  • S N Gomes
  • M Pradas
  • S Kalliadasis
  • D T Papageorgiou
  • G A Pavliotis
چکیده

We present an alternative methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are able to stabilize and/or control all stable or unstable solutions, including steady solutions, traveling waves (single and multipulse ones or bound states), and spatiotemporal chaos. We exemplify our methodology with the generalized Kuramoto-Sivashinsky equation, a paradigmatic model of spatiotemporal chaos, which is known to exhibit a rich spectrum of wave forms and wave transitions and a rich variety of spatiotemporal structures.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 92 2  شماره 

صفحات  -

تاریخ انتشار 2015