Results 121 to 130 of about 15,300 (165)
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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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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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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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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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International Journal of Theoretical Physics, 1996
Let \(f(x)\) be a logistic map (for example, \(f(x)= 2x^2- 1\)). The authors investgiate the second-order difference equation (1) \(x_{n+ 2}= g(x_n, x_{n+ 1})\), where \(g(x, y)\) is a polynomial of second degree and \(g(x, f(x))= f(f(x))\) (such a map \(f(x)\) is called an invariant of (1)).
Steeb, W.-H., Van Wyk, M.A.
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Let \(f(x)\) be a logistic map (for example, \(f(x)= 2x^2- 1\)). The authors investgiate the second-order difference equation (1) \(x_{n+ 2}= g(x_n, x_{n+ 1})\), where \(g(x, y)\) is a polynomial of second degree and \(g(x, f(x))= f(f(x))\) (such a map \(f(x)\) is called an invariant of (1)).
Steeb, W.-H., Van Wyk, M.A.
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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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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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Chaotic boundary of a Hamiltonial map
Physica D: Nonlinear Phenomena, 1982zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Bifurcations and Periodic Orbits in Chaotic Maps
Open Systems & Information Dynamics, 2001A hierarchy of universalities in families of 1-D maps is discussed. Breakdown of universalities in families of 3-D maps is shown on selected examples of such families.
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