Results 11 to 20 of about 31,690 (208)
EEG analysis in patients with schizophrenia based on Lyapunov exponents
Informatics 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
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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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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]
Nonlinear 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
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Study of Chaotic and Regular Modes of the Fractional Dynamic System of Selkov [PDF]
EPJ 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
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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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Parametric Lyapunov exponents [PDF]
Bulletin 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
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Spectral Lyapunov exponents in chaotic and localized many-body quantum systems
Physical 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
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Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]
, 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
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Chaotic regimes of a fractal nonlinear oscillator
Vestnik 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
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Physics 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
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