Results 261 to 270 of about 20,266 (306)
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AN EXACT MAP FOR A CHAOTIC BILLIARD
International Journal of Modern Physics B, 2011An exact map for Sinai's billiard with maximal central scatterer has been deduced from geometrical principles. Using this map a simple numerical method has been implemented for the search of periodic orbits. Results that seem to be useful in classical as quantum chaos are shown.
Mikoss, I., García, P.
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CHAOTIC MAP WITH THE PROPERTY OF RECURRENCE
International Journal of Modern Physics B, 2007In this paper, we consider a continuous map f: X→X, where X is a compact metric space, and discuss the existence of a chaotic set of f specially (as X=[0,1]). We prove that f has a positively topological entropy if and only if it has an uncountably chaotic set in which each point is recurrent and is not weakly periodic.
Wang, Lidong +2 more
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2002
Synchronized chaotic systems are highly vulnerable to noise added to the synchronizing signal. It was previously shown that chaotic circuits could be built that were less sensitive to this type of noise. In this work, simple chaotic maps are demonstrated that are also less sensitive to added noise.
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Synchronized chaotic systems are highly vulnerable to noise added to the synchronizing signal. It was previously shown that chaotic circuits could be built that were less sensitive to this type of noise. In this work, simple chaotic maps are demonstrated that are also less sensitive to added noise.
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Chaotic boundary of a Hamiltonial map
Physica D: Nonlinear Phenomena, 1982zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties and discrimination of chaotic maps
IEEE International Conference on Acoustics Speech and Signal Processing, 1993Properties, discrimination, and practical applications of chaotic maps of the unit interval are considered. Emphasis is placed on a specific class of piecewise linear, one-dimensional maps, members of which give rise to finite-state Markov chains. Properties of maps in this class are presented; these properties suggest the value of these maps for ...
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A CHAOTIC MAP WITH TOPOLOGICAL ENTROPY
Acta Mathematica Scientia, 1986The author constructs a continuous interval map with topological entropy zero, which is chaotic in the sense of Li and Yorke. For other constructions of such maps see [\textit{J. Smítal}, Trans. Am. Math. Soc. 297, 269-282 (1986; Zbl 0639.54029)] and [\textit{M. Misiurewicz} and \textit{J. Smítal}, Ergodic Theory Dyn. Syst. 8, 421-424 (1988)].
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Mechanism of multistability in chaotic maps
Chaos: An Interdisciplinary Journal of Nonlinear ScienceThis research aims to investigate the mechanisms of multistability in chaotic maps. The study commences by examining the fundamental principles governing the development of homogeneous multistability using a basic one-dimensional chain-climbing map. Findings suggest that the phase space can be segmented into distinct uniform mediums where particles ...
Jin Liu, Kehui Sun, Huihai Wang
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Poincaré Recurrences in a Nonautonomous Chaotic Map
International Journal of Bifurcation and Chaos, 2014The statistics of Poincaré recurrences is studied numerically in a one-dimensional cubic map in the presence of harmonic and noisy excitations. It is shown that the distribution density of Poincaré recurrences is periodically modulated by the harmonic force.
Yaroslav I. Boev +3 more
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Regular approximations to chaotic maps
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008We construct regular analytic approximations to partly chaotic maps on a two-dimensional torus—the Standard Map in particular. Possible extensions are discussed.
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Dynamics of a novel chaotic map
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gokulakrishnan Sriram +5 more
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