Results 181 to 190 of about 115,141 (223)
Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos. [PDF]
Entropy (Basel)Wali S +4 more
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A Hyperspectral Remote Sensing Image Encryption Algorithm Based on a Novel Two-Dimensional Hyperchaotic Map. [PDF]
Entropy (Basel)Bai Z +5 more
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Lyapunov exponents of free operators [PDF]
Journal of Functional Analysis, 2008 Lyapunov exponents of a dynamical system are a useful tool to gauge the stability and complexity of the system. This paper offers a definition of Lyapunov exponents for a sequence of free linear operators.
Vladislav Kargin
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Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps.
Fan, Aihua, Jiang, Yunping
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Differentiability of Lyapunov Exponents
Journal of Dynamical and Control Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferraiol, Thiago F. +1 more
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Perturbations with nonpositive Lyapunov exponents
Quaestiones Mathematicae, 2022The notion of uniform hyperbolicity is equivalent to various admissibility properties. For example, one such property is expressed in terms of the existence of bounded solutions for any bounded perturbation of the dynamics. Our main objective is to describe a weaker hyperbolicity property for a nonautonomous dynamics with discrete time that
Barreira, Luis, Valls, Claudia
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Physical Review A, 1992
The definition of a Lyapunov exponent can be extended to include an imaginary part. This extension requires the definition of a coordinate frame on the tangent space of the differential equation and an extension of the concept of a limit. The definition of extended Lyapunov exponents is based on the eigenvalues of the fundamental matrix.
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The definition of a Lyapunov exponent can be extended to include an imaginary part. This extension requires the definition of a coordinate frame on the tangent space of the differential equation and an extension of the concept of a limit. The definition of extended Lyapunov exponents is based on the eigenvalues of the fundamental matrix.
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Controlled Lyapunov-exponents with applications
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004Let X = (X/sub n/) be a stationary process of k /spl times/ k real-valued matrices, depending on some vector-valued parameter /spl theta//spl epsiv//spl Ropf//sup p/, satisfying E log/sup +/ /spl par/X0(/spl theta/)/spl par/ < /spl infin/ for all /spl theta/.
László Gerencsér +2 more
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2003
Abstract Although there is no universally accepted definition of chaos, most experts would concur that chaos is the aperiodic, long-term behavior of a bounded, deterministic system that exhibits sensitive dependence on initial conditions.
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Abstract Although there is no universally accepted definition of chaos, most experts would concur that chaos is the aperiodic, long-term behavior of a bounded, deterministic system that exhibits sensitive dependence on initial conditions.
openaire +2 more sources