Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models
From MaRDI portal
Publication:313354
DOI10.1016/j.nahs.2016.03.003zbMath1348.92034arXiv1403.1751OpenAlexW2964007355MaRDI QIDQ313354
Publication date: 9 September 2016
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.1751
Related Items (2)
A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic-Markov-process limit ⋮ A multiscale stochastic criminal behavior model under a hybrid scheme
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite horizon optimal control problems with multiple thermostatic hybrid dynamics
- Non-standard semantics of hybrid systems modelers
- Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models
- An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution
- The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism
- Mean field games
- On Bernstein-type inequalities for martingales.
- Laws of large numbers and Langevin approximations for stochastic neural field equations
- Modeling and simulation of cardiac tissue using hybrid I/O automata
- Spatio-temporal hybrid (PDMP) models: central limit theorem and Langevin approximation for global fluctuations. Application to electrophysiology
- Mean-field games and dynamic demand management in power grids
- Risk-Sensitive Mean-Field Games
- Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors
- Averaging for a Fully Coupled Piecewise-Deterministic Markov Process in Infinite Dimensions
- Stochastic Approximation Based Consensus Dynamics over Markovian Networks
- Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov Processes
- An Introduction to Partial Differential Equations
- Continuous Average Control of Piecewise Deterministic Markov Processes
- Multiscale Piecewise Deterministic Markov Process in infinite dimension: central limit theorem and Langevin approximation
- Hybrid Systems: Computation and Control
- Uniqueness of Constrained Viscosity Solutions in Hybrid Control Systems
This page was built for publication: Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models