IPACS Electronic library

Controlling chaos in spatially extended beam-plasma system with the help of continuous delayed feedback

Irene Rempen, Alexander Hramov
The work is devoted to the control of complex spatio-temporal dynamics in a spatially extended non-linear system (fluid model of Pierce diode). The presented methods are based on stabilization of unstable homogeneous equilibrium state and the unstable spatio-temporal periodical states which are analogous to unstable periodic orbits of chaotic attractor in the systems with few degrees of freedom. We show that this method is effective and allows to achieve desired regular dynamics in spatially extended systems.
File: download
Copyright © 2003—2015 The Laboratory "Control of Complex Systems", IPME RAS