Results 141 to 150 of about 443,845 (190)

Controlling chaotic dynamical systems

1991 American Control Conference, 1991
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Romeiras, Filipe J., Grebogi, Celso, Ott, Edward, Dayawansa, W. P.   +3 more
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Quantization of chaotic systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992
Starting from the semiclassical dynamical zeta function for chaotic Hamiltonian systems we use a combination of the cycle expansion method and a functional equation to obtain highly excited semiclassical eigenvalues. The power of this method is demonstrated for the anisotropic Kepler problem, a strongly chaotic system with good symbolic dynamics.
Tanner, Gregor, Wintgen, Dieter
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Synchronization in chaotic systems

Physical Review Letters, 1990
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Pecora, Louis, Carroll, Thomas L.
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Transinformation of Chaotic Systems

Physica Scripta, 1986
Summary: Deterministic chaotic systems respond sensitively to variations of the initial conditions. Thus, if one has no exact knowledge of the initial state of the system, limits are set to the possibility of state prediction. The transinformation \(I(t)\) is a measure of the state predictability: \(I(t)\) is the information on a future state if an ...
Pompe, B., Leven, R. W.
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PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS

International Journal of Bifurcation and Chaos, 2003
We 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
Viana, R. L., de S. Pinto, S. E., Barbosa, J. R. R., Grebogi, C.   +3 more
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Chaotic switching system using mixed-mode chaotic circuit

Proceedings of the 44th IEEE 2001 Midwest Symposium on Circuits and Systems. MWSCAS 2001 (Cat. No.01CH37257), 2002
We present a new chaotic switching system for transmission of digital signals via a mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics via a switching method. In the transmitter based on mixed-mode chaotic circuit, a digital information signal and its inverse signal control two switches whose complementary actions ...
ALÇI, Mustafa, KILIÇ, Recai
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Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

Chinese Physics B, 2010
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems.
Zhou Ping, Cheng Yuan-Ming, Kuang Fei
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Understanding Chaotic Dynamical Systems

Communications on Pure and Applied Mathematics, 2013
From the text: This article is three-quarters review and one-quarter look-ahead. The topic is chaotic dynamical systems. In the first three sections, I will try to give a sense of how hyperbolic theory has evolved over the years. In the last section, I will discuss some challenges -- and opportunities -- that lie ahead.
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Chaotic Continua in Chaotic Dynamical Systems

2021
In 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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Resonances of Chaotic Dynamical Systems

Physical Review Letters, 1986
We 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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