Lévy noise-induced escape in an excitable system
From MaRDI portal
Publication:3303101
DOI10.1088/1742-5468/aa727czbMath1456.92029OpenAlexW2622371678MaRDI QIDQ3303101
Xiaofan Li, Rui Cai, Xiaoli Chen, Jin-qiao Duan, Juergen Kurths
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1742-5468/aa727c
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural biology (92C20)
Related Items
Extracting stochastic dynamical systems with α-stable Lévy noise from data, Excitability inflection for exit problem in class 1 excitable systems, Lévy noise induced escape in the Morris-Lecar model, Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises, Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations, Early warning and basin stability in a stochastic vegetation-water dynamical system, α-stable noise-induced coherence on a spatially extended Fitzhugh–Nagumo system, A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations, Most probable dynamics of a genetic regulatory network under stable Lévy noise, Lévy noise induced transition and enhanced stability in a gene regulatory network, Modulating bifurcations in a self-sustained birhythmic system by \(\alpha\)-stable Lévy noise and time delay, Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling, Extracting governing laws from sample path data of non-Gaussian stochastic dynamical systems, Effects of Lévy noise on the Fitzhugh-Nagumo model: a perspective on the maximal likely trajectories, Birhythmic oscillations and global stability analysis of a conductance-based neuronal model under ion channel fluctuations, A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Excitability in optical systems close to \({\mathbb Z}_2\)-symmetry
- Limit dynamics for the stochastic FitzHugh-Nagumo system
- Flights towards defection in economic transactions
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
- Lévy stable noise-induced transitions: stochastic resonance, resonant activation and dynamic hysteresis
- Stochastic Resonance
- Lévy Processes and Stochastic Calculus
- Random perturbations of the reduced Fitzhugh-Nagumo equation
- Coherence Resonance in a Noise-Driven Excitable System
- Stochastic basins of attraction for metastable states
- Noisy homoclinic pulse dynamics
- Lévy noise-induced stochastic resonance in a bistable system
