Results 11 to 20 of about 4,627 (196)

Lyapunov Exponents Everywhere and Rigidity [PDF]

open access: yesJournal 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
openaire   +3 more sources

Largest Lyapunov Exponent Parameter of Stiffened Carbon Fiber Reinforced Epoxy Composite Laminated Plate Due to Critical Buckling Load Using Average Logarithmic Divergence Approach

open access: yesMathematics, 2022
The purpose of this study is to calculate the bending deflection which is used to investigate the largest Lyapunov exponent due to buckling load. The design methodology is to calculate the largest Lyapunov exponent parameter at different thickness ratios
Louay S. Yousuf
doaj   +1 more source

An efficient deep learning model for brain tumour detection with privacy preservation

open access: yesCAAI 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

Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition

open access: yesComplexity, 2020
In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest ...
Heng Chen   +5 more
doaj   +1 more source

Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole

open access: yesJournal 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
doaj   +1 more source

Diverging Fluctuations of the Lyapunov Exponents [PDF]

open access: yesPhysical Review Letters, 2016
We show that in generic one-dimensional Hamiltonian lattices the diffusion coefficient of the maximum Lyapunov exponent diverges in the thermodynamic limit. We trace this back to the long-range correlations associated with the evolution of the hydrodynamic modes.
Pazo, Diego   +2 more
openaire   +5 more sources

Upper central exponent of linear stochastic differential algebraic equations of index 1

open access: yesTạp 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
doaj   +1 more source

Lyapunov exponent in the Vicsek model [PDF]

open access: yesPhysical Review E, 2022
The well-known Vicsek model describes the dynamics of a flock of self-propelled particles (SPPs). Surprisingly, there is no direct measure of the chaotic behavior of such systems. Here, we discuss the dynamical phase transition present in Vicsek systems in light of the largest Lyapunov exponent (LLE), which is numerically computed by following the ...
L. H. Miranda-Filho   +4 more
openaire   +4 more sources

Recurrence, Dimensions, and Lyapunov Exponents

open access: yesJournal of Statistical Physics, 2002
12 ...
Saussol, B.   +2 more
openaire   +4 more sources

A practical test for noisy chaotic dynamics

open access: yesSoftwareX, 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

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