Results 11 to 20 of about 8,668 (249)
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
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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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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
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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
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
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SYK model, chaos and conserved charge
Journal of High Energy Physics, 2017 We study the SYK model with complex fermions, in the presence of an all-to-all q-body interaction, with a non-vanishing chemical potential. We find that, in the large q limit, this model can be solved exactly and the corresponding Lyapunov exponent can ...
Ritabrata Bhattacharya +3 more
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Maximal Lyapunov exponent at crises [PDF]
Physical Review E, 1996 We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor ...
Mehra, Vishal, Ramaswamy, Ramakrishna
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IET Power Electronics, EarlyView., 2023 This article describes an enhanced switched capacitor cross‐connected switched multilevel inverter (ESC3SMLI) with machine learning‐based model‐predictive control (ML‐MPCM). An improved switched capacitor cross connected switched multilevel inverter featuring minimal devices are presented. The proposed ESC3SMLI produces nine levels using eight switches,
Arun Vijayakumar +4 more
wiley +1 more source