Enhancement of stability of metastable states in the presence of Lévy noise [PDF]
SciPost Physics, 2023 The barrier-crossing event for superdiffusion characterized by symmetric Lévy flights is analyzed. Starting from the fractional Fokker-Planck equation, we derive an integro-differential equation along with the necessary conditions to calculate the mean ...
Alexander A. Dubkov, Claudio Guarcello, Bernardo Spagnolo
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The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case. [PDF]
Chaos Solitons Fractals, 2022 This study concentrates on the analysis of a stochastic SIC epidemic system with an enhanced and general perturbation. Given the intricacy of some impulses caused by external disturbances, we integrate the quadratic Lévy noise into our model.
Sabbar Y +3 more
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Lévy noise improves the electrical activity in a neuron under electromagnetic radiation. [PDF]
PLoS ONE, 2017 As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise.
Juan Wu, Yong Xu, Jun Ma
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Levy Noise Affects Ornstein–Uhlenbeck Memory [PDF]
EntropyThis paper investigates the memory of the Ornstein–Uhlenbeck process (OUP) via three ratios of the OUP increments: signal-to-noise, noise-to-noise, and tail-to-tail. Intuition suggests the following points: (1) changing the noise that drives the OUP from
Iddo Eliazar
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Influence of levy noise on subthreshold synchronization of spintronic stochastic neurons
Results in Physics, 2021 Superparamagnetic tunnel junctions (SMTJs) are spintronic nanodevices that can oscillate spontaneously under the influence of thermal noise. Studies have proposed that SMTJs can be modeled as magnetic neurons by subjecting them to electrical Gaussian ...
Zhiqiang Liao +5 more
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Lévy noise versus Gaussian-noise-induced transitions in the Ghil–Sellers energy balance model [PDF]
Nonlinear Processes in Geophysics, 2022 We study the impact of applying stochastic forcing to the Ghil–Sellers energy balance climate model in the form of a fluctuating solar irradiance. Through numerical simulations, we explore the noise-induced transitions between the competing warm and ...
V. Lucarini +6 more
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Nonlinear SPDE driven by Lévy noise: well-posedness, optimal control and invariant measure [PDF]
Journal of evolution equations (Printed ed.), 2023 In this article, we study a nonlinear stochastic control problem perturbed by multiplicative Lévy noise, where the nonlinear operator (in divergence form) satisfies p-type growth with coercivity assumptions.
R. Kavin, A. K. Majee
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An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise [PDF]
Chaos, 2022 Recently, extracting data-driven governing laws of dynamical systems through deep learning frameworks has gained much attention in various fields. Moreover, a growing amount of research work tends to transfer deterministic dynamical systems to stochastic
Cheng Fang +3 more
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EURASIP Journal on Wireless Communications and Networking, 2022 Nowadays, the increasingly complex and changeable marine environment makes the signals received by the underwater sensing equipment not only contain the weak signals radiated by underwater targets but also accompanied by marine solid background noise ...
Hanwen Zhang +5 more
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Second order elliptic partial differential equations driven by Lévy white noise
Modern Stochastics: Theory and Applications, 2021 This paper deals with linear stochastic partial differential equations with variable coefficients driven by Lévy white noise. First, an existence theorem for integral transforms of Lévy white noise is derived and the existence of generalized and mild ...
David Berger, Farid Mohamed
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