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
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Long-time-tail Effects on Lyapunov Exponents of a Random, Two-dimensional Field-driven Lorentz Gas
, 2000 We study the Lyapunov exponents for a moving, charged particle in a two-dimensional Lorentz gas with randomly placed, non-overlapping hard disk scatterers placed in a thermostatted electric field, $\vec{E}$.
Dorfman, J. R. +2 more
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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
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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
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Matlab code for Lyapunov exponents of fractional order systems
, 2018 In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code are presented.
Danca, Marius-F., Kuznetsov, Nikolay
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Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole
Physics Letters BIn this letter, we study proper time Lyapunov exponents and coordinate time Lyapunov exponents of chaos for both massless and massive particles orbiting a four-dimensional Kerr-AdS black hole, and explore their relationships with the phase transition of ...
Deyou Chen, Chuang Yang, Yongtao Liu
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Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
, 2013 We numerically investigate Lyapunov instabilities for one-, two- and three-dimensional lattices of interacting classical spins at infinite temperature.
de Wijn, A. S., Fine, B. V., Hess, B.
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Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps [PDF]
, 2004 We explore some properties of Lyapunov exponents of measures preserved by smooth maps of the interval, and study the behaviour of the Lyapunov exponents under topological conjugacy.Comment: 9 ...
Bruin, Henk, Luzzatto, Stefano
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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
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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
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