Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises
DOI10.1142/S0219493723400075MaRDI QIDQ6151512
Linghongzhi Lu, Yang Li, Xian-bin Liu
Publication date: 11 March 2024
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Lévy noisenoise-induced transitionsnon-Gaussian stochastic dynamicsdata-sciencenon-local Kramers-Moyal formulas
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Cites Work
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- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Lévy flights in evolutionary ecology
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- A scaling theory of bifurcations in the symmetric weak-noise escape problem.
- Most probable dynamics of a genetic regulatory network under stable Lévy noise
- Extracting governing laws from sample path data of non-Gaussian stochastic dynamical systems
- Data-driven approximation of the Koopman generator: model reduction, system identification, and control
- A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
- Machine learning: Trends, perspectives, and prospects
- Dynamic mode decomposition of numerical and experimental data
- Lévy noise-induced escape in an excitable system
- Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise
- Sparse dynamics for partial differential equations
- The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise
- Data-Driven Identification of Parametric Partial Differential Equations
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