Results 221 to 230 of about 36,343 (265)
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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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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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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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PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2003We call a chaotic dynamical system pseudo-deterministic when it does not produce numerical, or pseudo-trajectories that stay close, or shadow chaotic true trajectories, even though the model equations are strictly deterministic. In this case, single chaotic trajectories may not be meaningful, and only statistical predictions, at best, could be drawn on
Ricardo Luiz Viana +3 more
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Resonances of Chaotic Dynamical Systems
Physical Review Letters, 1986We present analytic properties of the power spectrum for a class of chaotic dynamical systems (Axiom-A systems). The power spectrum is meromorphic in a strip; the position of the poles (resonances) depends on the system considered, but only their residues depend on the observable monitored. In relation with these results we also discuss the exponential
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Chaotic Continua in Chaotic Dynamical Systems
2021In this article, for any graph G we define a new notion of “free tracing property by free G-chains” on G-like continua and we show that a positive topological entropy homeomorphism f of a G-like continuum X admits a Cantor set Z in X such that any sequence \((z_1,z_2,...,z_n)\) of points in Z is an IE-tuple of f, Z has the free tracing property by free
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Kybernetika, 1994
The authors propose an approach to construct a chaotic system by the synthesis of a linear dissipative single-input single-output system and a nonlinear static output feedback. An example constructed in this way is illustrated by computation.
Antonín Vanecek, Sergej Celikovský
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The authors propose an approach to construct a chaotic system by the synthesis of a linear dissipative single-input single-output system and a nonlinear static output feedback. An example constructed in this way is illustrated by computation.
Antonín Vanecek, Sergej Celikovský
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