Results 91 to 100 of about 31,539 (227)
Characterizing Weak Chaos using Time Series of Lyapunov Exponents
, 2015 We investigate chaos in mixed-phase-space Hamiltonian systems using time series of the finite- time Lyapunov exponents. The methodology we propose uses the number of Lyapunov exponents close to zero to define regimes of ordered (stickiness), semi-ordered
Altmann, E. G. +3 more
core +1 more source
Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
Journal of Field Robotics, EarlyView.ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
wiley +1 more source
Lyapunov exponents for products of complex Gaussian random matrices
, 2012 The exact value of the Lyapunov exponents for the random matrix product $P_N = A_N A_{N-1}...A_1$ with each $A_i = \Sigma^{1/2} G_i^{\rm c}$, where $\Sigma$ is a fixed $d \times d$ positive definite matrix and $G_i^{\rm c}$ a $d \times d$ complex ...
A. Comtet +27 more
core +1 more source
Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval. [PDF]
Commun Math Phys, 2023 Pollicott M, Vytnova P.
europepmc +1 more source
Predictability of large-scale atmospheric motions: Lyapunov exponents and error dynamics
, 2017 The deterministic equations describing the dynamics of the atmosphere (and of the climate system) are known to display the property of sensitivity to initial conditions.
Vannitsem, Stéphane
core +1 more source
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Networked control systems (NCSs) often suffer from performance degradation due to limited communication bandwidth, which can cause data transmission conflicts and packet loss. Existing scheduling strategies may fail to simultaneously meet the real‐time requirements and the importance of multisensor data, and they are particularly vulnerable ...
Da Chen +5 more
wiley +1 more source
Properties of Lyapunov exponents for quasiperodic cocycles with singularities
Electronic Journal of Differential Equations, 2015 We consider the quasi-periodic cocycles $(\omega,A(x,E)): (x,v)\mapsto (x+\omega, A(x,E)v)$ with $\omega$ Diophantine. Let $M_2(\mathbb{C})$ be a normed space endowed with the matrix norm, whose elements are the $2\times 2$ matrices.
Kai Tao
doaj
Quantifying Chaos by Various Computational Methods. Part 1: Simple Systems
Entropy, 2018 The aim of the paper was to analyze the given nonlinear problem by different methods of computation of the Lyapunov exponents (Wolf method, Rosenstein method, Kantz method, the method based on the modification of a neural network, and the synchronization
Jan Awrejcewicz +5 more
doaj +1 more source
, 2000 We compute the full Lyapunov spectra for a hard-disk fluid under temperature gradient and shear. The system is thermalized by deterministic and time-reversible scattering at the boundary. This thermostating mechanism allows for energy fluctuations around
Wagner, C.
core
From Distributed Noisy Data to Event‐Triggered Pinning Observer‐Based Control
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper presents an event‐triggered pinning observer‐based control of unknown large‐scale interconnected systems under false data injection attacks using distributed noisy data without any system identification step. An exogenous system is used to model the false data injection attack.
Xuan Jia +3 more
wiley +1 more source