Results 11 to 20 of about 37,065 (229)
Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole
Journal of High Energy Physics, 2022 We investigate the conjectured bound on the Lyapunov exponent for a charged particle with angular motion in the Kerr-Newman-AdS black hole. The Lyapunov exponent is calculated based on the effective Lagrangian.
Bogeun Gwak +3 more
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Decay of distance autocorrelation and Lyapunov exponents [PDF]
, 2019 This work presents numerical evidences that for discrete dynamical systems with one positive Lyapunov exponent the decay of the distance autocorrelation is always related to the Lyapunov exponent.
Beims, M. W. +2 more
core +3 more sources
Parametric Lyapunov exponents [PDF]
Bulletin of the London Mathematical Society, 2020 In an algebraic family of rational maps of $\mathbb{P}^1$, we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critical value is Collet-Eckmann. This extends previous results of Graczyk and wicatek in the unicritical family, using Makarov theorem.
de Thélin, Henry +2 more
openaire +4 more sources
Optimal conditions for the numerical calculation of the largest Lyapunov exponent for systems of ordinary differential equations [PDF]
, 2013 A general indicator of the presence of chaos in a dynamical system is the largest Lyapunov exponent. This quantity provides a measure of the mean exponential rate of divergence of nearby orbits.
Bermudez-Almanza, L. D., Dubeibe, F. L.
core +1 more source
Upper central exponent of linear stochastic differential algebraic equations of index 1
Tạp chí Khoa học, 2022 In the paper, we introduce the concept of upper central exponent of linear stochastic differential algebraic equation of index 1.
NGUYEN Thi The
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Lyapunov exponents for temporal networks
Physical Review E, 2023 By interpreting a temporal network as a trajectory of a latent graph dynamical system, we introduce the concept of dynamical instability of a temporal network, and construct a measure to estimate the network Maximum Lyapunov Exponent (nMLE) of a temporal network trajectory.
Annalisa Caligiuri +4 more
openaire +5 more sources
Removing zero Lyapunov exponents [PDF]
Ergodic Theory and Dynamical Systems, 2003 Motivated by \textit{M. Shub} and \textit{A. Wilkinson}'s result [Invent. Math. 139, 495--508 (2000; Zbl 0976.37013)] for an explicit family of partially hyperbolic diffeomorphisms of the torus \(T^3\) in perturbing the Lyapunov exponents of the center direction, the authors present a local version of their arguments, allowing one to perturb the center
Baraviera, Alexandre T. +1 more
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Lyapunov Exponents Everywhere and Rigidity [PDF]
Journal of Dynamical and Control Systems, 2021 In the present work we obtain rigidity results analysing the set of regular points, in the sense of Oseledec's Theorem. It is presented a study on the possibility of an Anosov diffeomorphisms having all Lyapunov exponents defined everywhere. We prove that this condition implies local rigidity of an Anosov automorphism of the torus $\mathbb{T}^d, d \geq
Pereira Micena, Fernando +1 more
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A practical test for noisy chaotic dynamics
SoftwareX, 2015 This code computes the largest Lyapunov exponent and tests for the presence of a chaotic dynamics, as opposed to stochastic dynamics, in a noisy scalar series. The program runs under Matlab® programming language. Keywords: Lyapunov exponent, Noisy chaos,
Ahmed BenSaïda
doaj +1 more source