Results 161 to 170 of about 493,475 (209)
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Controlling spatiotemporal chaos
Physical Review Letters, 1994A method for controlling spatiotemporal chaos in certain classes of spatially extended systems is proposed. In these systems, unstable defects emit convectively unstable waves which subsequently break and may nucleate new defects. Control is achieved via the stabilization of one such active wave source, which then sweeps all of the chaotic fluctuations
, Aranson, , Levine, , Tsimring
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Physical Review E, 1993
The method for stabilizing an unstable periodic orbit in chaotic dynamical systems originally formulated by Ott, Grebogi, and Yorke (OGY) is not directly applicable to chaotic Hamiltonian systems. The reason is that an unstable periodic orbit in such systems often exhibits complex-conjugate eigenvalues at one or more of its orbit points.
, Lai, , Ding, , Grebogi
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The method for stabilizing an unstable periodic orbit in chaotic dynamical systems originally formulated by Ott, Grebogi, and Yorke (OGY) is not directly applicable to chaotic Hamiltonian systems. The reason is that an unstable periodic orbit in such systems often exhibits complex-conjugate eigenvalues at one or more of its orbit points.
, Lai, , Ding, , Grebogi
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Nonlinear Dynamics in Optical Systems, 1992
It is common for systems to evolve with time in a chaotic way. In practice, however, it is often desired that chaos be avoided and/or that the system be optimized with respect to some performance criterion. Given a system which behaves chaotically, one approach might be to make some large (and possibly costly) alteration in the system which completely ...
Filipe J. Romeiras +3 more
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It is common for systems to evolve with time in a chaotic way. In practice, however, it is often desired that chaos be avoided and/or that the system be optimized with respect to some performance criterion. Given a system which behaves chaotically, one approach might be to make some large (and possibly costly) alteration in the system which completely ...
Filipe J. Romeiras +3 more
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International Journal of Bifurcation and Chaos, 2007
Chaotic nonlinear networks are investigated, which are controlled by simple boids rules. They exhibit complex and emergent behaviors such as flocking behavior, separation behavior, joining behavior and obstacle avoiding behavior.
Itoh, Makoto, Chua, Leon O.
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Chaotic nonlinear networks are investigated, which are controlled by simple boids rules. They exhibit complex and emergent behaviors such as flocking behavior, separation behavior, joining behavior and obstacle avoiding behavior.
Itoh, Makoto, Chua, Leon O.
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Multiparameter control of chaos
Physical Review E, 1995Controlling chaos by using more than one available control parameter is presented as an experimentally feasible way to reduce the transient times that precede stabilization and improve performance in the presence of noise. We demonstrate these advantages by applying our method to a numerical example.
, Barreto, , Grebogi
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Physical Review Letters, 1990
It was demonstrated that one can convert the motion of a chaotic dynamical system to periodic motion by controlling the system about one of the many unstable periodic orbits embedded in the chaotic attractor, through only small time dependent perturbations in an accessible system parameter.
, Ditto, , Rauseo, , Spano
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It was demonstrated that one can convert the motion of a chaotic dynamical system to periodic motion by controlling the system about one of the many unstable periodic orbits embedded in the chaotic attractor, through only small time dependent perturbations in an accessible system parameter.
, Ditto, , Rauseo, , Spano
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Chaos and Chaos Control in Plasmas
Physica Scripta, 2000Chaos and chaos control is studied in the Pierce-diode and in a laboratory plasma diode experiment. Both systems are characterized by a period doubling route to chaos that is characterized by a low-dimensional phase space attractor. Unstable periodic orbits of low periodicity can be stabilized in both systems by discrete time feedback control.
A. Piel +4 more
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CONTROL AND APPLICATIONS OF CHAOS
Journal of the Franklin Institute, 1997This review describes a procedure for stabilizing a desirable chaotic orbit embedded in a chaotic attractor of dissipative dynamical systems by using small feedback control. The key observation is that certain chaotic orbits may correspond to a desirable system performance.
Grebogi, Celso +2 more
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Nonlinear Dynamics in Optical Systems, 1992
In 1990 Ott, Grebogi and Yorke described an attractive method (OGY) whereby small time-dependent perturbation applied to a chaotic system allowed to stabilize unstable periodic orbits[1]. This method is applicable to experimental situations in which a priori analytical knowledge of the system is not available[2,3].
S. Bielawski +3 more
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In 1990 Ott, Grebogi and Yorke described an attractive method (OGY) whereby small time-dependent perturbation applied to a chaotic system allowed to stabilize unstable periodic orbits[1]. This method is applicable to experimental situations in which a priori analytical knowledge of the system is not available[2,3].
S. Bielawski +3 more
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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1993
For pt. I see ibid., vol. 40, no. 10, p. 693-9 (Oct. 1993). Various control concepts developed for chaotic systems are described in this paper. By control, we mean influencing the system operating in a chaotic regime in such a way as to achieve a desired type of dynamic behavior ("goal") that typically could be a fixed point or periodic orbit.
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For pt. I see ibid., vol. 40, no. 10, p. 693-9 (Oct. 1993). Various control concepts developed for chaotic systems are described in this paper. By control, we mean influencing the system operating in a chaotic regime in such a way as to achieve a desired type of dynamic behavior ("goal") that typically could be a fixed point or periodic orbit.
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