Results 191 to 200 of about 25,093,086 (249)
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FEEDBACK SYNCHRONIZATION OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2003Feedback coupling through an interaction term proportional to the difference in the value of some behavioral characteristics of two systems is a very common structural setting that leads to synchronization of the behavior of both systems. The degree of synchronization attained depends on the strength of the interaction term and on the mutual ...
Cecilia Sarasola +4 more
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DRIVING TRAJECTORIES IN CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2001This work presents the main ideas and the fundamental procedures for guiding trajectories on chaotic systems and for stabilizing chaotic orbits, all with the use of small perturbations. We consider an extension of the Ott–Grebogi–Yorke method of controlling chaos and an associated procedure for guiding trajectories on chaotic sets of high dimensional ...
Elbert E. N. Macau, Celso Grebogi
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Characterizing the Response of Chaotic Systems
Physical Review Letters, 2010We characterize the response of a chaotic system by investigating ensembles of, rather than single, trajectories. Time-periodic stimulations are experimentally and numerically investigated. This approach allows detecting and characterizing a broad class of coherent phenomena that go beyond generalized and phase synchronization.
Giacomelli G. +3 more
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On predefined-time synchronisation of chaotic systems
Chaos, Solitons & Fractals, 2019An active control Lyapunov-function design for predefined-time synchronisation of chaotic systems, based on the Lorenz attractor, is proposed in this paper.
C. A. Anguiano-Gijón +4 more
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Synchronization of chaotic systems and their machine-learning models.
Physical Review E, 2019Recent advances have demonstrated the effectiveness of a machine-learning approach known as "reservoir computing" for model-free prediction of chaotic systems.
T. Weng +4 more
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OPTIMAL CONTROL OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2001The problem of controlling a chaotic system is treated from a long term statistical basis. Unlike the OGY targeting method that exploits individual unstable orbits, this approach is concerned with targeting the density function of an invariant probability measure. Given a point transformation T, possessing a density function f, we choose [Formula: see
Pawel Góra, Abraham Boyarsky
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IDENTICAL SYNCHRONIZATION OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2006We consider the problem of identical synchronization (IS) of chaotic systems in two cases: (i) system uncertainty exists in the drive system, and (ii) output uncertainty exists in the drive system. No matter which case it is, the IS problem can be resolved via the combination of unknown input observers (UIOs) and the linear matrix inequalities (LMIs).
Maoyin Chen, Dong-Hua Zhou, Yun Shang
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Optics and Laser Technology, 2019
An image compression-encryption scheme is proposed based on fractional order hyper-chaotic systems combined with 2D compressed sensing (CS) and DNA encoding. This scheme adopts the CS technique to cut down the size of the original image proportionally in
Yuguang Yang +5 more
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An image compression-encryption scheme is proposed based on fractional order hyper-chaotic systems combined with 2D compressed sensing (CS) and DNA encoding. This scheme adopts the CS technique to cut down the size of the original image proportionally in
Yuguang Yang +5 more
semanticscholar +1 more source
IMPULSIVE CONTROL OF CHAOTIC SYSTEM
International Journal of Bifurcation and Chaos, 2002This paper studies an impulsive control problem. By utilizing the method of Lyapunov functions, a set of impulsive stabilization criteria are established. These results are then applied to the Lorenz system. It is shown that by using impulsive feedback control, all the solutions of the Lorenz system will converge to an equilibrium point.
Xinzhi Liu, Kok Lay Teo
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ANALYSIS OF A QUANTIZED CHAOTIC SYSTEM
International Journal of Bifurcation and Chaos, 2002We consider quantized chaotic dynamics for a spiking oscillator with two periodic inputs. As the first input is applied, the oscillator generates various periodic and chaotic pulse-trains governed by a pulse position map. As the second input is added, the oscillator produces pulse positions restricted on a lattice, and the pulse position map is ...
Hiroyuki Torikai +2 more
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