CERN Document Server (European Organization for Nuclear Research) · 1998 · 25 citations · 22 references
Natural SciencesPhysicsDynamical SystemsPlasma PhysicsBifurcation TheoryChaos TheoryControl TheoryFeedback ControlNonlinear DynamicsNonlinear Plasma DynamicsChaos ControlChaos In Plasma SystemsChaotic OscillatorsContinuous-time ControlNonlinear Plasma WavesSignalsTurbulence In Ionized Gas
In the positive column of a neon glow discharge, two different types of ionization waves occur simultaneously. The low-dimensional chaos arising from the nonlinear interaction between the two waves is controlled by a continuous feedback technique. The control strategy is derived from the time-delayed autosynchronization method. Two spatially displaced points of observation are used to obtain the control information, using the propagation characteristics of the chaotic wave.
22
Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters · 1990 · 5.4K citations
Ergodic theory of chaos and strange attractors
Jean‐Pierre Eckmann, David Ruelle · Reviews of Modern Physics · 1985 · 4.9K citations
Characterization of Strange Attractors
Peter Grassberger, Itamar Procaccia · Physical Review Letters · 1983 · 4.8K citations
Continuous control of chaos by self-controlling feedback
K. Pyragas · Physics Letters A · 1992 · 3.3K citations