Results 161 to 170 of about 4,627 (196)

The bullwhip effect and Lyapunov exponent

Applied Mathematics and Computation, 2007
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Ahmad Makui, Alireza Madadi
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Semigroups and Moment Lyapunov Exponents

Journal of Lie Theory, 2020
Summary: Let \(G\) be a noncompact semi-simple Lie group with finite center and \(\mu\) a probability measure on \(G\). We consider (i) the semigroup \(S_{\mu}\) generated by the support of \(\mu\) (with the assumption that \(\mathrm{int} S_{\mu}\neq \emptyset\)); (ii) The spectral radii \(r_{\lambda}\) of the operators \(U_{\lambda}\left( \mu \right)\)
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Local and Global Lyapunov exponents

Journal of Dynamics and Differential Equations, 1991
The authors relate various properties of local and global Lyapunov exponents, which were used in the study of the Hausdorff dimension of the global attractor for the 2D Navier-Stokes equations [cf. \textit{P. Constantin} and \textit{C. Foias}, Commun. Pure Appl. Math. 38, 1-27 (1985; Zbl 0582.35092), \textit{P. Constantin}, \textit{C.
Eden, A., Foias, C., Temam, R.
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Lyapunov Exponents

2015
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in ...
Arkady Pikovsky, Antonio Politi
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Lyapunov exponents

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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Controlled Lyapunov-exponents with applications

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Let 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, Miklós Rásonyi, Zsuzsanna Vágó   +2 more
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Lyapunov Exponents

2016
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in ...
Pikovskij, Arkadij (Prof. Dr.), Politi, Antonio   +1 more
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Lyapunov exponents for hydromagnetic convection

Physical Review A, 1991
We estimate the two largest Lyapunov exponents in a three-dimensional simulation of hydromagnetic convection in which there is dynamo action. It turns out that these first two exponents (from a total of 8\ifmmode\times\else\texttimes\fi{}${63}^{3}$) are positive and of similar magnitude. Thus we conclude that the dynamo is chaotic.
, Kurths, , Brandenburg
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Stability Radii and Lyapunov Exponents

1990
In the state space approach to stability of uncertain systems the concept of stability radius plays a central role. In this paper we use the classical concept of Lyapunov exponents, which describe the exponential growth behavior, in order to define a variety of stability and instability radii for families of linear systems ẋ = [A + u(t)]x, u(t) ∈ U ρ ,
Colonius, Fritz, Kliemann, Wolfgang
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Design of multi-wing chaotic systems with higher largest Lyapunov exponent

Chaos, Solitons and Fractals, 2022
Shilalipi Sahoo, Binoy Krishna Roy
exaly