تقرير
Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size
| العنوان: | Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size |
|---|---|
| المؤلفون: | Guiraud, Pierre, Tanré, Etienne |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics Quantitative Biology |
| مصطلحات موضوعية: | Mathematics - Probability, Quantitative Biology - Neurons and Cognition, 92B25, 92B20, 60F10, 60J75 |
| الوصف: | We study the synchronization of fully-connected and totally excitatory integrate and fire neural networks in presence of Gaussian white noises. Using a large deviation principle, we prove the stability of the synchronized state under stochastic perturbations. Then, we give a lower bound on the probability of synchronization for networks which are not initially synchronized. This bound shows the robustness of the emergence of synchronization in presence of small stochastic perturbations. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3934/dcdsb.2019056 |
| URL الوصول: | http://arxiv.org/abs/1609.07103 |
| رقم الأكسشن: | edsarx.1609.07103 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3934/dcdsb.2019056 |
|---|