| Full text | |
| Author(s): |
Ruffino, Paulo R.
;
Morgado, Leandro
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Electronic Communications in Probability; v. 21, 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
In this article we propose a model for stochastic delay differential equation with jumps (SDDEJ) in a differentiable manifold M endowed with a connection del. In our model, the continuous part is driven by vector fields with a fixed delay and the jumps are assumed to come from a distinct source of (cadlag) noise, without delay. The jumps occur along adopted differentiable curves with some dynamical relevance (with fictitious time) which allow to take parallel transport along them. In the last section, using a geometrical approach, we show that the horizontal lift of the solution of an SDDEJ is again a solution of an SDDEJ in the linear frame bundle BM with respect to a horizontal connection del(H) in BM. (AU) | |
| FAPESP's process: | 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |