Calculation of maximum Lyapunov exponent for vibro-impact system
Xi'an Gongcheng Daxue xuebao, 2021 With the help of discontinuous mapping and tail mapping, the maximum Lyapunov exponent of the system with the above three structures was constructed using Khasminskii transform.
Hui DANG, Jinqian FENG, Sen YANG
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A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations [PDF]
Inventiones Mathematicae, 2020 We put forward a new method for obtaining quantitative lower bounds on the top Lyapunov exponent of stochastic differential equations. Our method combines (i) a new identity connecting the top Lyapunov exponent to a Fisher information-like functional of ...
J. Bedrossian +2 more
semanticscholar +1 more source
Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent [PDF]
Inventiones Mathematicae, 2020 We consider discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the orbits of a general hyperbolic transformation.
A. Avila, David Damanik, Zheng-He Zhang
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Large Deviations of the Lyapunov Exponent and Localization for the 1D Anderson Model [PDF]
Communications in Mathematical Physics, 2018 The proof of Anderson localization for the 1D Anderson model with arbitrary (e.g. Bernoulli) disorder, originally given by Carmona–Klein–Martinelli in 1987, is based in part on the multi-scale analysis.
S. Jitomirskaya, Xiao-Wen Zhu
semanticscholar +1 more source
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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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
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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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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The moment Lyapunov exponent for conservative systems with small periodic and random perturbations [PDF]
, 2001 Much effort has been devoted to the stability analysis of stationary points for linear autonomous systems of stochastic differential equations. Here we introduce the notions of Lyapunov exponent, moment Lyapunov exponent, and stability index for linear ...
Imkeller, Peter, Milstein, Grigori N.
core +1 more source
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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