Results 21 to 30 of about 22,081,541 (270)
Death and rebirth of neural activity in sparse inhibitory networks
New Journal of Physics, 2017 Inhibition is a key aspect of neural dynamics playing a fundamental role for the emergence of neural rhythms and the implementation of various information coding strategies.
David Angulo-Garcia +3 more
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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]
Nonlinear Processes in Geophysics, 2019 The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
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Visual Analysis of the Finite‐Time Lyapunov Exponent [PDF]
Computer Graphics Forum, 2020 AbstractIn this paper, we present an integrated visual analytics approach to support the parametrization and exploration of flow visualization based on the finite‐time Lyapunov exponent. Such visualization of time‐dependent flow faces various challenges, including the choice of appropriate advection times, temporal regions of interest, and spatial ...
Antoni Sagristà +2 more
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Multiscale analysis of biological data by scale-dependent Lyapunov exponent
Frontiers in Physiology, 2012 Physiological signals often are highly nonstationary and multiscaled--- depending upon the scale at which they are examined, they mayexhibit different behaviors, such asnonlinearity, sensitive dependence on small disturbances, longmemory, and extreme ...
Jianbo eGao
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An Extension of the Lyapunov Analysis for the Predictability Problem
Journal of the Atmospheric Sciences, 1998 The predictability problem for systems with different characteristic time scales is investigated. It is shown that even in simple chaotic dynamical systems, the leading Lyapunov exponent is not sufficient to estimate the predictability time. This fact is due the saturation of the error on the fast components of the system which therefore do not ...
BOFFETTA, Guido +3 more
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A Lyapunov Analysis of Momentum Methods in Optimization
CoRR, 2016 Major revision.
Ashia C. Wilson +2 more
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Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited [PDF]
Chaos, Solitons & Fractals, 2012 The stability analysis introduced by Lyapunov and extended by Oseledec provides an excellent tool to describe the character of nonlinear n-dimensional flows by n global exponents if these flows are stationary in time. However, here we discuss two shortcomings: (a) the local exponents fail to indicate the origin of instability where trajectories start ...
Waldner, Franz, Klages, Rainer
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Response of Lyapunov exponents to diffusion state of biological networks
International Journal of Applied Mathematics and Computer Science, 2020 The topologies of protein-protein interaction networks are uncertain and noisy. The network topology determines the reliability of computational knowledge acquired from noisy networks and can impose the deterministic and non-deterministic character of ...
Altuntas Volkan +2 more
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Lyapunov based stability analysis for metro lines [PDF]
WIT Transactions on The Built Environment, 2008 This paper on a Lyapunov-based stability analysis for metro railway lines is from the proceedings of 14th International Conference on Urban Transport and the Environment in the 21st Century, which was held in Malta in 2008. The authors present a direct method to measure the stability of metro system lines, with respect to a previously constructed time ...
Berbey Alvarez, Aranzazu +3 more
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AxiomsThis paper investigates a stochastic semi-parametric SEIR model characterized by infectivity during the incubation period and influenced by white noise perturbations. First, based on the theory of stochastic persistence, we derive the conditions required
Mei Li, Jing Zhang
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