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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
Published on: August 1, 2017
Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback
Alexander E Hramov1, Alexey A Koronovskii, Irene S Rempen
1Department of Nonlinear Processes, Saratov State University, Astrakhanskaya, 83, Saratov, 410012, Russia. aeh@nonlin.sgu.ru
Chaos (Woodbury, N.Y.)
|April 8, 2006
Summary
This study controls complex dynamics in nonlinear systems by stabilizing unstable states, analogous to controlling chaos. The method effectively achieves desired regular dynamics in fluid models of the Pierce diode.
Area of Science:
- Nonlinear Dynamics
- Plasma Physics
- Chaos Theory
Background:
- Complex spatio-temporal dynamics arise in spatially extended nonlinear systems.
- Controlling chaos in systems with few degrees of freedom provides a framework for managing complex dynamics.
- The fluid model of the Pierce diode exhibits rich nonlinear behavior.
Purpose of the Study:
- To investigate the control of complex spatio-temporal dynamics in a fluid model of the Pierce diode.
- To adapt chaos control concepts for spatially extended nonlinear systems.
- To stabilize unstable equilibrium and periodic states within the system.
Main Methods:
- Applying control strategies inspired by chaos control techniques.
- Stabilizing unstable homogeneous equilibrium states.
- Stabilizing unstable spatio-temporal periodic states analogous to unstable periodic orbits.
Main Results:
- Demonstrated effectiveness of the presented control method.
- Achieved stabilization of desired regular dynamics.
- Successfully controlled complex spatio-temporal behavior in the Pierce diode model.
Conclusions:
- The proposed method is effective for controlling complex dynamics in spatially extended nonlinear systems.
- Stabilization of unstable states is a viable approach for achieving desired regular dynamics.
- Chaos control concepts can be successfully extended to more complex systems.
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