A local Echo State Property through the largest Lyapunov exponent [PDF]
Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based on recent results on the mean field theory of driven random recurrent neural networks, enabling ...
G. Wainrib, M. Galtier
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Classification of Processes by the Lyapunov exponent [PDF]
This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
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Differentiability of the largest Lyapunov exponent for planar open billiards
In this paper, we estimate the largest Lyapunov exponent for open billiards in the plane. We show that the largest Lyapunov exponent is differentiable with respect to a billiard deformation.Comment: 18 ...
Dowais, Amal Al, Amal Al Dowais
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Investigation of chaos in a polydyne cam with flat-faced follower mechanism
In this paper, the chaotic analysis is predicted based on the non-periodic motion of the follower. Non-periodic motion of the follower has been investigated by using the conception of Lyapunov exponent parameter.
Louay S. Yousuf
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Lyapunov exponent for stochastic time series [PDF]
This paper deals with the problem of the discrimination between stable and unstable time series. One criterion for the seperation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems.
Weihs, Claus, Busse, Anja M.
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Conditional Lyapunov exponent criteria in terms of ergodic theory [PDF]
The conditional Lyapunov exponent is defined for investigating chaotic synchronization, in particular complete synchronization and generalized synchronization.
Masaru Shintani +3 more
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Chaotic time series analysis of meteorological parameters in some selected stations in Nigeria
One of the primary responsibilities of any meteorological and hydrological services is to provide information on weather warnings and forecasts to the general public for necessary precaution and prevention. This necessitated a better understanding of the
A.T. Adewole +3 more
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Gottwald Melborune (0–1) test for chaos in a plasma [PDF]
Plasma is a highly complex system exhibiting a rich variety of nonlinear dynamical phenomena. In the last two decades or so there has been a spurt of growth in exploring unconventional nonlinear dynamical methods of analysis, like chaos theory, multi ...
D. R. Chowdhury +2 more
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Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression
Chaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. In this study, the experimental data of concrete under compression were examined and discussed using Lyapunov exponent. According to
Yuhu Quan, Xu Yang
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The asymptotic behavior of a dynamical process coming from the development in continuous fractions [PDF]
The aim of this paper is the study of a dynamical process generated by a sequence of maps: xn+1=fnxn$${x_{n + 1}} = {f_n}\left( {{x_n}} \right)$$ where fn : 0,∞ →0,∞, fn x = cn1+x for all n ∈ N and cnn$${f_n}{\rm{ : }}\left( {0,\infty } \right){\rm{ }} \
Bucur Maria-Liliana +1 more
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