Lévy noise induced escape in the Morris-Lecar model

DOI10.1016/j.physa.2019.121785OpenAlexW2903049587MaRDI QIDQ2162581

Rui Cai, Yancai Liu, Jin-qiao Duan

Publication date: 8 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10960

zbMATH Keywords

Lévy motionmean first exit timenonlocal partial differential equationsMorris-Lecar modelfirst escape probability

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Bifurcation and basin stability of an SIR epidemic model with limited medical resources and switching noise ⋮ State transitions in the Morris-Lecar model under stable Lévy noise ⋮ Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bifurcation control of the Morris-Lecar neuron model via a dynamic state-feedback control
• First exit times for Lévy-driven diffusions with exponentially light jumps
• Mathematical foundations of neuroscience
• The Dirichlet problem for stable-like operators and related probabilistic representations
• Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
• Spontaneous Excitability in the Morris--Lecar Model with Ion Channel Noise
• Lévy stable noise-induced transitions: stochastic resonance, resonant activation and dynamic hysteresis
• Lévy noise-induced escape in an excitable system
• Stochastic Resonance
• Lévy Processes and Stochastic Calculus
• Transition from double coherence resonances to single coherence resonance in a neuronal network with phase noise
• Stochastic basins of attraction for metastable states
• New Developments in the Analysis of Nonlocal Operators
• Mixed Mode Oscillations and Synchronous Activity in Noise Induced Modified Morris–Lecar Neural System
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Random dynamics of the Morris–Lecar neural model
• Boundary value problems and Markov processes
• Nonlocal equations in bounded domains: a survey

This page was built for publication: Lévy noise induced escape in the Morris-Lecar model