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Secure Signal Encryption in IoT and 5G/6G Networks via Bio-Inspired Optimization of Sprott Chaotic Oscillator Synchronization. [PDF]
Entropy (Basel)Maamri F +7 more
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Physical Review Letters, 1990
Summary: The authors show that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The method utilizes delay coordinate embedding, and so is applicable to experimental situations in which apriori analytical ...
Ott, Edward +2 more
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Summary: The authors show that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The method utilizes delay coordinate embedding, and so is applicable to experimental situations in which apriori analytical ...
Ott, Edward +2 more
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Physics Today, 1995
Scientists in many fields are recognizing that the systems they study often exhibit a type of time evolution known as chaos. Its hallmark is wild, unpredictable behavior, a state often perplexing and unwelcome to those who encounter it. Indeed this highly structured and deterministic phenomenon was in the past frequently mistaken for noise and viewed ...
Edward Ott, Mark Spano
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Scientists in many fields are recognizing that the systems they study often exhibit a type of time evolution known as chaos. Its hallmark is wild, unpredictable behavior, a state often perplexing and unwelcome to those who encounter it. Indeed this highly structured and deterministic phenomenon was in the past frequently mistaken for noise and viewed ...
Edward Ott, Mark Spano
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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.
Makoto Itoh, Leon O. Chua
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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.
Makoto Itoh, Leon O. Chua
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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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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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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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The fundamentals of controlling chaos
Integrative Physiological and Behavioral Science, 1994The concepts of chaos and its control are reviewed. Both are discussed from an experimental as well as a theoretical viewpoint. A detailed exposition of the mathematics of chaos control is presented, with an eye toward implementation in computer-controlled experiments.
M L, Spano, W L, Ditto
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Controlling chaos in the brain
Nature, 1994In a spontaneously bursting neuronal network in vitro, chaos can be demonstrated by the presence of unstable fixed-point behaviour. Chaos control techniques can increase the periodicity of such neuronal population bursting behaviour. Periodic pacing is also effective in entraining such systems, although in a qualitatively different fashion.
S J, Schiff +5 more
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