Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1993 · 49 citations · 15 references
Natural SciencesMathematicsComplex SystemsDynamical SystemsChaos TheoryControl Of Dynamical SystemsControl TheoryNonlinear DynamicsOscillatorsPeriodic OrbitsChaos ControlChaos In Dynamical SystemsChaotic AttractorsChaotic DynamicsChaotic OscillatorsOscillatory DynamicsStable Periodic OrbitsUnstable Periodic Orbits
We have extended the technique of stabilization of unstable periodic orbits to the case of spatially distributed networks of oscillators in a chaotic regime. The control is achieved via minute kicks to the variables of oscillators. These systems of many degrees of freedom exhibit high-dimensional chaos. We discuss the relevance of such control for cognitive processes.
15
Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters · 1990 · 5.4K citations
Characterization of Strange Attractors
Peter Grassberger, Itamar Procaccia · Physical Review Letters · 1983 · 4.8K citations
Proceedings of the 2004 American Control Conference
2004 · 2.6K citations
Alan Garfinkel, Mark L. Spano, William L. Ditto et al. · Science · 1992 · 922 citations · Full text
Medicine, Cardiology, Physiology +15