Results 31 to 40 of about 31,690 (208)
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
Dynamics of spinning test particles in Kerr spacetime [PDF]
, 2002 We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive dependence on initial ...
Hartl, Michael D.
core +2 more sources
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
Quantifying Spatiotemporal Chaos in Rayleigh-B\'enard Convection
, 2012 Using large-scale parallel numerical simulations we explore spatiotemporal chaos in Rayleigh-B\'enard convection in a cylindrical domain with experimentally relevant boundary conditions.
A. Karimi +4 more
core +1 more source
On the interaction of a system with multifrequency oscillations with a chaotic generator [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work: to study the influence of the dynamics of a chaotic system on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario.
Kuznetsov, Aleksandr Petrovich +1 more
doaj +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
Exact Lyapunov exponents of the generalized Boole transformations
, 2016 The generalized Boole transformations have rich behavior ranging from the \textit{mixing} phase with the Cauchy invariant measure to the \textit{dissipative} phase through the \textit{infinite ergodic} phase with the Lebesgue measure.
Okubo, Ken-ichi, Umeno, Ken
core +1 more source