An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0669-y
Abstract: We propose a new Eulerian numerical approach to compute the Jacobian of flow maps in continuous dynamical systems and subsequently the so-called finite time Lyapunov exponent (FTLE) for Lagrangian coherent structure extraction. The original approach… read more here.
Keywords: time lyapunov; finite time; lyapunov exponent; time ... See more keywords
Lyapunov exponent for Lipschitz maps
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4119-z
Abstract: It is well known that the Lyapunov exponent plays a fundamental role in dynamical systems. In this note, we propose a definition of Lyapunov exponent for Lipschitz maps, which are not necessarily differentiable. Additionally, we… read more here.
Keywords: lyapunov exponent; dynamical systems; lipschitz maps; exponent lipschitz ... See more keywords
A novel incipient fault detection based on residual evaluation by using correlation dimension and inverse of largest Lyapunov exponent
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-020-00627-w
Abstract: One of the most significant challenges in fault detection and isolation methods is early detection of faults with very slow development rate. This paper proposes a novel robust residual evaluation to detect an incipient fault.… read more here.
Keywords: fault; detection; lyapunov exponent; fault detection ... See more keywords
Estimating largest Lyapunov exponents in aeroelastic signals
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-021-00833-0
Abstract: The characterization of experimental signals from nonlinear systems is of fundamental importance for the development of precise mathematical models. Aeroelastic systems are intrinsically nonlinear, leading to unpredictable and sometimes uncontrollable situations. Experimental signal analysis still… read more here.
Keywords: estimating largest; lyapunov exponents; aeroelastic signals; lyapunov exponent ... See more keywords
Very short-term maximum Lyapunov exponent forecasting tool for distributed photovoltaic output
Sign Up to like & getrecommendations! Published in 2018 at "Applied Energy"
DOI: 10.1016/j.apenergy.2018.08.075
Abstract: Abstract Photovoltaic (PV) power generation varies randomly and intermittently with respect to the weather. For a microgrid with PV sources, this fluctuation not only affects the necessary configuration of the energy-storage capacity chosen in microgrid… read more here.
Keywords: lyapunov exponent; output; short term; maximum lyapunov ... See more keywords
On the fractional Lyapunov exponent for Hadamard-type fractional differential system.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0131661
Abstract: This paper is mainly dedicated to defining an adequate notion of fractional Lyapunov exponent to the Hadamard-type fractional differential system (HTFDS). First, the continuous dependence of the solution to a nonautonomous HTFDS is discussed. Then,… read more here.
Keywords: system; lyapunov; lyapunov exponent; exponent hadamard ... See more keywords
Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/abc597
Abstract: We quantify the coupling asymptotics for the Lyapunov exponent of the quasi-periodic Schrödinger operator with two classes of finitely smooth potentials, which are well-studied in [23, 26]. We remark that the rate of convergence in… read more here.
Keywords: lyapunov exponent; coupling asymptotics; asymptotics lyapunov; periodic schr ... See more keywords
Hilbert space Lyapunov exponent stability
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7521
Abstract: We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that… read more here.
Keywords: lyapunov; stability; lyapunov exponent; space lyapunov ... See more keywords
Postural stability assessment in flatfoot subjects trough lyapunov exponent analysis
Sign Up to like & getrecommendations! Published in 2021 at "European Journal of Public Health"
DOI: 10.1093/eurpub/ckab120.113
Abstract: Flatfoot subjects presents an increase plantar foot area related to a plantar pressure feedback impairment. The Lyapunov Exponent is considered a nonlinear parameter used to characterize a signal chaotic behavior measuring the information rate loss… read more here.
Keywords: lyapunov exponent; analysis; condition; exponent ... See more keywords
Universality in chaos of particle motion near black hole horizon
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.95.024007
Abstract: The motion of a particle near a horizon of a spherically symmetric static black hole is shown to possess a universal Lyapunov exponent of chaos bounded by its surface gravity. To probe the horizon, we… read more here.
Keywords: motion; lyapunov exponent; black hole; particle ... See more keywords
Quasi-integrable systems are slow to thermalize but may be good scramblers.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.102.022201
Abstract: Classical quasi-integrable systems are known to have Lyapunov times much shorter than their ergodicity time-the clearest example being the Solar System-but the situation for their quantum counterparts is less well understood. As a first example,… read more here.
Keywords: quasi integrable; systems slow; integrable systems; lyapunov exponent ... See more keywords