Results 31 to 40 of about 115,141 (223)
Recurrence, Dimensions, and Lyapunov Exponents
Journal of Statistical Physics, 2002 12 ...
Saussol, B. +2 more
openaire +4 more sources
Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise [PDF]
, 2002 The ergodic properties of SDEs, and various time discretizations for SDEs, are studied. The ergodicity of SDEs is established by using techniques from the theory of Markov chains on general state spaces, such as that expounded by Meyn-Tweedie ...
Stuart, A.M. +2 more
core +4 more sources
Hyperchaos in a Bose-Hubbard Chain with Rydberg-Dressed Interactions
Photonics, 2021 We study the chaos and hyperchaos of Rydberg-dressed Bose–Einstein condensates (BECs) in a one-dimensional optical lattice. Due to the long-range, soft-core interaction between the dressed atoms, the dynamics of the BECs are described by the extended ...
Gary McCormack, Rejish Nath, Weibin Li
doaj +1 more source
A Torus-Chaotic System and Its Pseudorandom Properties
Complexity, 2020 Exploring and investigating new chaotic systems is a popular topic in nonlinear science. Although numerous chaotic systems have been introduced in the literature, few of them focus on torus-chaotic system.
Jizhao Liu +5 more
doaj +1 more source
Quantitative Aeroelastic Stability Prediction of Wings Exhibiting Nonlinear Restoring Forces
Journal of Mathematical Sciences and Modelling, 2023 In engineering practice, eigen-solution is used to assess the stability of linear dynamical systems. However, the linearity assumption in dynamical systems sometimes implies simplifications, particularly when strong nonlinearities exist.
Aykut Tamer
doaj +1 more source
Research dynamic modes of stick-slip effect with the account of hereditarity
E3S Web of Conferences, 2018 In study with the help of the spectrum of maximal Lyapunov exponents, dynamic regimes of the stick-slip effect were studied with allowance effect of hereditarity.
Parovik Roman
doaj +1 more source
Numerical Modeling of Lyapunov Exponents for Structural Damage Identification
Buildings, 2023 The main purpose of this article is to discuss the use of the Lyapunov exponents to evaluate the integrity of structures. The use of such coefficients is examined in an analysis that considers the geometric and physical nonlinearities, aiming to ensure ...
Gustavo Botelho Barbosa +3 more
doaj +1 more source
Classification of Processes by the Lyapunov Exponent [PDF]
, 2005 This paper deals with the problem of the discrimination between well-predictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems.
openaire +5 more sources
Advances in Mathematical Physics, 2018 The present work analyzes the statistics of finite scale local Lyapunov exponents of pairs of fluid particles trajectories in fully developed incompressible homogeneous isotropic turbulence.
Nicola de Divitiis
doaj +1 more source
, 2023 Top left: The real and imaginary parts (up to sign) of the three significant Lyapunov exponents, plotted as a function of θ, with parameters n = 100, β = 1 and δ = 4.
Avishy Carmi (14515752) +3 more
core +1 more source