Results 11 to 20 of about 31,539 (227)

Probing phase structure of black holes with Lyapunov exponents

open access: yesJournal of High Energy Physics, 2022
We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for Reissner-Nordström-AdS black holes ...
Xiaobo Guo   +3 more
doaj   +1 more source

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]

open access: yesNonlinear Processes in Geophysics, 2019
The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
doaj   +1 more source

Study of Chaotic and Regular Modes of the Fractional Dynamic System of Selkov [PDF]

open access: yesEPJ Web of Conferences, 2021
The paper investigates the dynamic modes of the Sel’kov fractional self-oscillating system in order to simulate the interaction of cracks. The spectra of the maximum Lyapunov exponents, constructed depending on the parameters of the dynamic system, are ...
Parovik Roman   +2 more
doaj   +1 more source

EEG analysis in patients with schizophrenia based on Lyapunov exponents

open access: yesInformatics in Medicine Unlocked, 2020
The present work focused on study of the chaotic nature of the electroencephalogram (EEG) signal in schizophrenia by assessing Lyapunov exponents, which can serve as indicators of specific brain function suffered from the disease.
Ilya E. Kutepov   +6 more
doaj   +1 more source

Parametric Lyapunov exponents [PDF]

open access: yesBulletin of the London Mathematical Society, 2020
In an algebraic family of rational maps of $\mathbb{P}^1$, we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critical value is Collet-Eckmann. This extends previous results of Graczyk and wicatek in the unicritical family, using Makarov theorem.
de Thélin, Henry   +2 more
openaire   +4 more sources

Spectral Lyapunov exponents in chaotic and localized many-body quantum systems

open access: yesPhysical Review Research, 2021
We consider the spectral statistics of the Floquet operator for disordered, periodically driven spin chains in their quantum chaotic and many-body localized (MBL) phases.
Amos Chan, Andrea De Luca, J. T. Chalker
doaj   +1 more source

Chaotic regimes of a fractal nonlinear oscillator

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
In the paper, a fractal nonlinear oscillator was investigated with the aim of identifying its chaotic oscillatory regimes. The measure of chaos for a dynamic system is the maximum Lyapunov exponents.
Roman I Parovik
doaj   +3 more sources

Calculations of Lyapunov exponents and characterizations of nonlinear dynamics in bulk antiferroelectrics

open access: yesPhysics of Complex Systems, 2023
This paper investigates the influence of the amplitude, frequency, and damping of the applied field on the maximal Lyapunov exponents and chaotic dynamics in the bulk antiferroelectric (AFE) system.
Сью-Чу Лим
doaj   +1 more source

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]

open access: yes, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner   +43 more
core   +1 more source

Lyapunov exponents for temporal networks

open access: yesPhysical Review E, 2023
By interpreting a temporal network as a trajectory of a latent graph dynamical system, we introduce the concept of dynamical instability of a temporal network, and construct a measure to estimate the network Maximum Lyapunov Exponent (nMLE) of a temporal network trajectory.
Annalisa Caligiuri   +4 more
openaire   +5 more sources

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