A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise
type: Item
instance of: scholarly article
title: A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise
author: Yang Li
author: Jinqiao Duan
published in: Physica D
publication date: 2022-03-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/2005.03769
Mathematics Subject Classification ID: 82-XX
Mathematics Subject Classification ID: 60-XX
zbMATH DE Number: 7493986
zbMATH Keywords: machine learning
zbMATH Keywords: data-driven approach
zbMATH Keywords: non-Gaussian Lévy noise
zbMATH Keywords: stochastic dynamical systems
zbMATH Keywords: heavy-tailed fluctuations
zbMATH Keywords: rare events
MaRDI profile type: Publication
OpenAlex ID: W3022499899
cites work: The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise
cites work: Weak well-posedness of multidimensional stable driven SDEs in the critical case
cites work: Noise induced escape in one-population and two-population stochastic neural networks with internal states
cites work: Most probable dynamics of a genetic regulatory network under stable Lévy noise
cites work: Lévy noise induced transition and enhanced stability in a gene regulatory network
cites work: Discovering governing equations from data by sparse identification of nonlinear dynamical systems
cites work: Sparse dynamics for partial differential equations
cites work: Data-Driven Identification of Parametric Partial Differential Equations
cites work: Data-driven approximation of the Koopman generator: model reduction, system identification, and control
cites work: A data-driven approximation of the koopman operator: extending dynamic mode decomposition
cites work: Discovering mean residence time and escape probability from data of stochastic dynamical systems
cites work: Lévy flights in evolutionary ecology
cites work: Q4850560
cites work: Q2930843
cites work: Lévy noise-induced escape in an excitable system
cites work: Effects of Lévy noise on the Fitzhugh-Nagumo model: a perspective on the maximal likely trajectories
cites work: Most probable transition pathways and maximal likely trajectories in a genetic regulatory system
cites work: Stochastic basins of attraction for metastable states
cites work: Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
cites work: Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
cites work: Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise
cites work: Handbook of stochastic methods for physics, chemistry and the natural sciences.
cites work: Symmetric Stable Laws and Stable-Like Jump-Diffusions
cites work: Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions
cites work: Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations
cites work: A scaling theory of bifurcations in the symmetric weak-noise escape problem.
cites work: Multivariate elliptically contoured stable distributions: theory and estimation
cites work: Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems
cites work: Noise-induced transitions. Theory and applications in physics, chemistry, and biology
cites work: Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations
cites work: Lévy Processes and Stochastic Calculus
cites work: Jump type stochastic differential equations with non-Lipschitz coefficients: non-confluence, Feller and strong Feller properties, and exponential ergodicity
cites work: Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients
cites work: Q5400824
cites work: Governing equations for probability densities of Marcus stochastic differential equations with Lévy noise
cites work: Derivation of Fokker-Planck equations for stochastic systems under excitation of multiplicative non-Gaussian white noise
cites work: Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes
cites work: Q5425077
DOI: 10.1016/J.PHYSD.2020.132830
describes a project that uses: GitHub
description: scientific article; zbMATH DE number 7493986