Results 11 to 20 of about 15,535 (305)
Fast numerical test of hyperbolic chaos [PDF]
Physical Review E, 2012 The effective numerical method is developed performing the test of the hyperbolicity of chaotic dynamics. The method employs ideas of algorithms for covariant Lyapunov vectors but avoids their explicit computation. The outcome is a distribution of a characteristic value which is bounded within the unit interval and whose zero indicate the presence of ...
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Numerical study of chaos based on a shell model [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999 A shell model is introduced to study a turbulence driven by the thermal instability (Rayleigh–Bénard convection). This model equation describes cascade and chaos in the strong turbulence with high Rayleigh number. The chaos is numerically studied based on this model.
Yagi, M. +3 more
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Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
Journal of Control Science and Engineering, 2016 Based on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. A chaos synchronization scheme is suggested.
Shiyun Shen, Ping Zhou
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ON NUMERICAL PREDICTABILITY IN THE CHAOS SYSTEM
Acta Physica Sinica, 2001 The rounding-off error introduces uncertainty in the numerical solution. A computational uncertainty principle was explained by using climate model and the Rossler and super chaos system, and the maximally effective computation time and optimal stepsize are discussed.
null FENG GUO-LIN +3 more
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Abstract and Applied Analysis, 2013 A new symplectic chaos synchronization of chaotic systems with uncertain chaotic parameters is studied. The traditional chaos synchronizations are special cases of the symplectic chaos synchronization. A sufficient condition is given for the asymptotical
Cheng-Hsiung Yang
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Instability and Route to Chaos in Porous Media Convection
Fluids, 2017 A review of the research on the instability of steady porous media convection leading to chaos, and the possibility of controlling the transition from steady convection to chaos is presented.
Peter Vadasz
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The asymptotic error of chaos expansion approximations for stochastic differential equations
Modern Stochastics: Theory and Applications, 2019 In this paper we present a numerical scheme for stochastic differential equations based upon the Wiener chaos expansion. The approximation of a square integrable stochastic differential equation is obtained by cutting off the infinite chaos expansion in ...
Tony Huschto +2 more
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Journal of Applied Mathematics, 2012 This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov ...
Hui Fang
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Complex Dynamical Behaviors of Lorenz-Stenflo Equations
Mathematics, 2019 A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method.
Fuchen Zhang, Min Xiao
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Numerical study of the oscillatory convergence to the attractor at the edge of chaos [PDF]
The European Physical Journal B - Condensed Matter and Complex Systems, 2006 This paper compares three different types of ``onset of chaos'' in the logistic and generalized logistic map: the Feigenbaum attractor at the end of the period doubling bifurcations; the tangent bifurcation at the border of the period three window; the transition to chaos in the generalized logistic with inflection 1/2 ($x_{n+1} = μx_{n}^{1/2}$), in ...
TONELLI, ROBERTO, Coraddu M.
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