Using small perturbations to control chaos
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Celso Grebogi | Troy Shinbrot | James A. Yorke | Edward Ott | J. Yorke | E. Ott | T. Shinbrot | C. Grebogi
[1] Dressler,et al. Controlling chaos using time delay coordinates. , 1992, Physical review letters.
[2] Alberto Tesi,et al. Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems , 1992, Autom..
[3] Grebogi,et al. Unstable periodic orbits and the dimensions of multifractal chaotic attractors. , 1988, Physical review. A, General physics.
[4] S. Sinha,et al. Adaptive control in nonlinear dynamics , 1990 .
[5] Grebogi,et al. Experimental observation of crisis-induced intermittency and its critical exponent. , 1989, Physical review letters.
[6] Singer,et al. Controlling a chaotic system. , 1991, Physical review letters.
[7] M. Hénon,et al. A two-dimensional mapping with a strange attractor , 1976 .
[8] B. Huberman,et al. Dynamics of adaptive systems , 1990 .
[9] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[10] Kestutis Pyragas. Continuous control of chaos by self-controlling feedback , 1992 .
[11] Goldhirsch,et al. Taming chaotic dynamics with weak periodic perturbations. , 1991, Physical review letters.
[12] Valery Petrov,et al. Controlling chaos in the Belousov—Zhabotinsky reaction , 1993, Nature.
[13] Grebogi,et al. Controlling chaos in high dimensional systems. , 1992, Physical review letters.
[14] Katsuhiko Ogata,et al. Modern Control Engineering , 1970 .
[15] Jerrold E. Marsden,et al. Controlling homoclinic orbits , 1989 .
[16] Brun,et al. Control of NMR-laser chaos in high-dimensional embedding space. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[17] T. B. Fowler,et al. Application of stochastic control techniques to chaotic nonlinear systems , 1989 .
[18] L. Pecora,et al. Tracking unstable orbits in experiments. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[19] Mehta,et al. Controlling chaos to generate aperiodic orbits. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[20] Hamann,et al. Transition from chaotic to nonchaotic behavior in randomly driven systems. , 1992, Physical review letters.
[21] Lima,et al. Suppression of chaos by resonant parametric perturbations. , 1990, Physical review. A, Atomic, molecular, and optical physics.
[22] L. Wolfersdorf. Potential Flow Past a Circular Cylinder with Permeable Surface , 1988 .
[23] Azevedo,et al. Controlling chaos in spin-wave instabilities. , 1991, Physical review letters.
[24] Hua O. Wang,et al. Robust Control of a Chaotic Dynamical System , 1992, 1992 American Control Conference.
[25] Ditto,et al. Experimental control of chaos. , 1990, Physical review letters.
[26] Roy,et al. Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system. , 1992, Physical review letters.
[27] Auerbach,et al. Exploring chaotic motion through periodic orbits. , 1987, Physical review letters.
[28] E. A. Jackson,et al. Periodic entrainment of chaotic logistic map dynamics , 1990 .
[29] E. Atlee Jackson,et al. The entrainment and migration controls of multiple-attractor systems , 1990 .
[30] Grebogi,et al. Using the sensitive dependence of chaos (the "butterfly effect") to direct trajectories in an experimental chaotic system. , 1992, Physical review letters.
[31] Roy,et al. Tracking unstable steady states: Extending the stability regime of a multimode laser system. , 1992, Physical review letters.
[32] Grebogi,et al. Using chaos to direct orbits to targets in systems describable by a one-dimensional map. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[33] Jackson Ea,et al. Controls of dynamic flows with attractors. , 1991 .
[34] Hübler,et al. Nonlinear resonances and suppression of chaos in the rf-biased Josephson junction. , 1990, Physical review letters.
[35] T. Vincent,et al. Control of a chaotic system , 1991 .
[36] A Garfinkel,et al. Controlling cardiac chaos. , 1992, Science.
[37] James A. Yorke,et al. Lorenz-like chaos in a partial differential equation for a heated fluid loop , 1987 .
[38] Freeman J. Dyson,et al. Infinite in All Directions , 1988 .
[39] Glorieux,et al. Stabilization and characterization of unstable steady states in a laser. , 1993, Physical review. A, Atomic, molecular, and optical physics.
[40] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .
[41] Grebogi,et al. Using chaos to direct trajectories to targets. , 1990, Physical review letters.
[42] E. Hunt. Stabilizing high-period orbits in a chaotic system: The diode resonator. , 1991 .
[43] E. Ott,et al. Controlling Chaotic Dynamical Systems , 1991, 1991 American Control Conference.
[44] Grebogi,et al. Communicating with chaos. , 1993, Physical review letters.
[45] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[46] Celso Grebogi,et al. Using chaos to target stationary states of flows , 1992 .